Details

analyze3.1s (15.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

362×	`cancel-sign-sub-inv_binary64`
284×	`unsub-neg_binary64`
282×	`distribute-rgt-neg-in_binary64`
250×	`distribute-rgt-in_binary64`
237×	`sub-neg_binary64`
209×	`distribute-lft-in_binary64`
192×	`neg-mul-1_binary64`
188×	`distribute-lft-neg-in_binary64`
170×	`associate-r_binary64`
169×	`neg-sub0_binary64`
149×	`distribute-rgt-neg-out_binary64`
146×	`distribute-lft-neg-out_binary64`
134×	`associate--r+_binary64`
124×	`*-commutative_binary64`
109×	`associate-l_binary64`
94×	`+-commutative_binary64`
74×	`associate-+l-_binary64`
73×	`mul0-rgt_binary64` `mul0-lft_binary64`
68×	`distribute-neg-in_binary64`
67×	`remove-double-neg_binary64`
58×	`sub0-neg_binary64`
33×	`--rgt-identity_binary64`
28×	`*-lft-identity_binary64`
22×	`+-lft-identity_binary64` `cancel-sign-sub_binary64`
20×	`sin-neg_binary64` `associate--r-_binary64`
19×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
13×	`associate-+r-_binary64`
12×	`associate--l+_binary64`
11×	`cos-neg_binary64`
10×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64`
6×	`*-rgt-identity_binary64`
2×	`distribute-neg-out_binary64` `associate--l-_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	273
1	151	273
2	316	273
3	606	273
4	711	273
5	1003	273
6	1138	273
7	1521	273
8	1681	273
9	1761	273
10	1811	273
11	1816	273
12	1816	273
13	2112	273
14	1872	273
15	1872	273
16	1872	273
17	1713	273
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample202.0ms (1%)

Algorithm

1×

intervals

Results

145.0ms	166×	body	1024	valid
27.0ms	50×	body	512	valid
8.0ms	4×	body	2048	valid
4.0ms	27×	body	128	valid
3.0ms	9×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

83×	`cancel-sign-sub-inv_binary64`
59×	`distribute-rgt-neg-in_binary64`
56×	`sub-neg_binary64`
47×	`distribute-rgt-in_binary64`
42×	`unsub-neg_binary64`
41×	`neg-mul-1_binary64`
35×	`neg-sub0_binary64`
34×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
28×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
25×	`associate-r_binary64`
23×	`*-commutative_binary64`
21×	`+-commutative_binary64`
18×	`+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`
16×	`associate-+l-_binary64`
14×	`sub0-neg_binary64`
13×	`associate-l_binary64`
12×	`remove-double-neg_binary64`
10×	`*-lft-identity_binary64`
8×	`--rgt-identity_binary64` `associate--r-_binary64`
6×	`associate-+l+_binary64`
4×	`*-rgt-identity_binary64`
3×	`sin-neg_binary64`
2×	`cos-neg_binary64` `+-rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

11.8b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.5b	(sin.f64 (-.f64 lambda1 lambda2))
2.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite146.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

11×	`add-sqr-sqrt_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
4×	`cos-sum_binary64` `add-log-exp_binary64` `sin-sum_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
3×	`cos-diff_binary64`
2×	`sub-neg_binary64` `sin-cos-mult_binary64` `*-commutative_binary64`
1×	`sin-diff_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*l/_binary64` `unswap-sqr_binary64`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 1938 to 357 computations (81.6% saved)

series230.0ms (1.2%)

Error

7.4b

Counts

4 → 52

Calls

4 calls:

88.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
30.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
25.0ms	(sin.f64 (-.f64 lambda1 lambda2))
23.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3487 to 1882 computations (46% saved)

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

520×	`distribute-rgt-neg-in_binary64`
470×	`sub-neg_binary64`
445×	`cancel-sign-sub-inv_binary64`
439×	`distribute-lft-neg-in_binary64`
414×	`neg-mul-1_binary64`
386×	`neg-sub0_binary64`
318×	`associate-r_binary64`
293×	`associate-l_binary64`
267×	`unsub-neg_binary64`
182×	`*-commutative_binary64`
166×	`distribute-lft-neg-out_binary64`
122×	`distribute-rgt-out--_binary64`
119×	`distribute-rgt-neg-out_binary64`
101×	`distribute-rgt-out_binary64`
88×	`+-commutative_binary64`
77×	`sqr-pow_binary64`
70×	`cancel-sign-sub_binary64`
56×	`distribute-neg-out_binary64` `associate-+l-_binary64`
46×	`associate-+r-_binary64`
44×	`associate--l+_binary64`
37×	`unswap-sqr_binary64` `associate-+l+_binary64`
36×	`*-rgt-identity_binary64`
35×	`cube-prod_binary64`
34×	`+-rgt-identity_binary64`
31×	`exp-prod_binary64` `associate-+r+_binary64`
30×	`sub0-neg_binary64`
29×	`*-lft-identity_binary64`
28×	`log-prod_binary64` `remove-double-neg_binary64`
26×	`associate--r+_binary64`
25×	`swap-sqr_binary64`
14×	`cube-unmult_binary64`
13×	`pow-sqr_binary64` `distribute-rgt-in_binary64`
12×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
11×	`unpow3_binary64`
9×	`distribute-neg-in_binary64`
8×	`unpow1/2_binary64` `associate--l-_binary64`
7×	`distribute-lft-out_binary64`
6×	`sin-neg_binary64` `distribute-lft-out--_binary64`
5×	`cos-neg_binary64` `pow-plus_binary64` `cube-mult_binary64` `distribute-lft-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64`
2×	`exp-sum_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `associate-/l*_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64`

Counts

116 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2101
1	568	1886
2	1737	1789
3	3047	1758
4	4459	1758
5	5050	1758

prune114.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	10	79

Error

4.7b

Counts

79 → 10

Compiler

Compiled 1942 to 581 computations (70.1% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.7b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite152.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`associate-r_binary64`
7×	`associate-l_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`cos-sum_binary64` `add-log-exp_binary64`
3×	`cos-diff_binary64` `cancel-sign-sub-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
2×	`sin-cos-mult_binary64` `unswap-sqr_binary64`
1×	`sub-neg_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
4.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
4.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2699 to 370 computations (86.3% saved)

series328.0ms (1.7%)

Error

4.4b

Counts

4 → 57

Calls

4 calls:

89.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
88.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
29.0ms	(*.f64 (sin.f64 phi1) (cos.f64 phi2))
26.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 4708 to 2512 computations (46.6% saved)

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

716×	`cancel-sign-sub-inv_binary64`
442×	`associate-r_binary64`
411×	`associate-l_binary64`
381×	`distribute-rgt-neg-in_binary64`
337×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64`
336×	`neg-sub0_binary64`
270×	`sub-neg_binary64`
242×	`*-commutative_binary64`
150×	`unsub-neg_binary64`
133×	`distribute-rgt-in_binary64`
90×	`distribute-lft-neg-out_binary64`
83×	`distribute-rgt-out--_binary64`
73×	`+-commutative_binary64`
68×	`exp-prod_binary64` `distribute-rgt-out_binary64`
57×	`sqr-pow_binary64`
55×	`distribute-rgt-neg-out_binary64`
45×	`associate--l+_binary64`
43×	`cube-prod_binary64`
40×	`associate--r+_binary64`
36×	`*-rgt-identity_binary64`
33×	`log-prod_binary64`
32×	`*-lft-identity_binary64`
29×	`swap-sqr_binary64`
23×	`distribute-neg-in_binary64`
20×	`associate-+l+_binary64`
14×	`unpow3_binary64` `exp-sum_binary64`
13×	`distribute-lft-in_binary64`
12×	`cube-unmult_binary64`
11×	`cube-mult_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64`
9×	`distribute-lft-out--_binary64`
7×	`remove-double-neg_binary64`
6×	`unpow1/2_binary64` `associate-+r+_binary64`
5×	`exp-diff_binary64` `distribute-rgt1-in_binary64`
4×	`pow-plus_binary64` `exp-neg_binary64` `sqr-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
3×	`cos-neg_binary64` `sin-neg_binary64` `unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `associate-+r-_binary64`
2×	`associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

129 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	2982
1	745	2663
2	2504	2535
3	4305	2533
4	5080	2533

prune160.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	95	13	108

Error

0.1b

Counts

108 → 13

Compiler

Compiled 3231 to 770 computations (76.2% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
0.2b	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
0.2b	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))

rewrite283.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

22×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`add-sqr-sqrt_binary64`
11×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`sin-mult_binary64`
1×	`associate-*r/_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 3494 to 437 computations (87.5% saved)

series286.0ms (1.4%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

107.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
34.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
31.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
29.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 4848 to 2328 computations (52% saved)

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

442×	`distribute-rgt-neg-in_binary64`
413×	`distribute-lft-neg-in_binary64`
366×	`associate-r_binary64`
317×	`associate-l_binary64`
283×	`sub-neg_binary64`
279×	`cancel-sign-sub-inv_binary64`
229×	`neg-mul-1_binary64`
221×	`sqr-pow_binary64`
217×	`neg-sub0_binary64`
192×	`unswap-sqr_binary64`
149×	`*-commutative_binary64`
103×	`associate-+l+_binary64`
76×	`exp-prod_binary64`
72×	`+-commutative_binary64`
70×	`log-prod_binary64` `swap-sqr_binary64`
62×	`cube-prod_binary64`
59×	`pow-sqr_binary64`
58×	`distribute-lft-in_binary64`
50×	`associate-+r+_binary64`
49×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
44×	`unsub-neg_binary64` `*-lft-identity_binary64`
42×	`*-rgt-identity_binary64`
40×	`distribute-rgt-out_binary64`
38×	`distribute-rgt-in_binary64`
37×	`distribute-lft-out--_binary64`
31×	`associate-/l*_binary64`
20×	`associate-+l-_binary64`
16×	`unpow3_binary64` `cube-mult_binary64`
15×	`sub0-neg_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
9×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
7×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
6×	`unpow1/2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
5×	`rem-sqrt-square_binary64` `associate-/r*_binary64`
4×	`exp-sum_binary64` `associate--l+_binary64` `associate--r+_binary64`
3×	`times-frac_binary64` `associate-/r/_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`cos-neg_binary64` `unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

120 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2032
1	412	1740
2	1477	1644
3	2517	1639
4	4172	1639
5	5010	1639

prune205.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	75	13	88

Error

0.1b

Counts

88 → 13

Compiler

Compiled 3233 to 730 computations (77.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 phi1))))))
0.2b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 phi2) (sin.f64 phi1))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 phi1))

rewrite241.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `associate-*l/_binary64` `flip--_binary64` `diff-log_binary64`
1×	`sin-mult_binary64` `sum-log_binary64` `sub-neg_binary64` `associate--r+_binary64`

Counts

4 → 73

Calls

4 calls:

10.0ms	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 phi1))))))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 phi1))
5.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 3825 to 429 computations (88.8% saved)

series471.0ms (2.4%)

Error

0.1b

Counts

4 → 58

Calls

4 calls:

191.0ms	(-.f64 (.f64 (cos.f64 phi1) (sin.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (.f64 (cos.f64 lambda1) (.f64 (cos.f64 phi2) (sin.f64 phi1)))) (.f64 (cos.f64 phi2) (.f64 (sin.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 phi1))))))
89.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
34.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 phi1))
29.0ms	(*.f64 (cos.f64 phi2) (sin.f64 phi1))

Compiler

Compiled 6288 to 2865 computations (54.4% saved)

simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

601×	`associate-r_binary64`
458×	`associate-l_binary64`
451×	`distribute-rgt-neg-in_binary64`
381×	`distribute-lft-neg-in_binary64`
299×	`exp-prod_binary64`
298×	`*-commutative_binary64`
219×	`sub-neg_binary64`
160×	`cancel-sign-sub-inv_binary64`
113×	`+-commutative_binary64`
99×	`neg-sub0_binary64`
97×	`neg-mul-1_binary64`
86×	`sqr-pow_binary64`
73×	`associate--r+_binary64`
72×	`associate--l+_binary64`
69×	`distribute-lft-neg-out_binary64`
65×	`swap-sqr_binary64`
63×	`distribute-neg-in_binary64`
46×	`unsub-neg_binary64` `associate-+l+_binary64`
44×	`*-rgt-identity_binary64`
36×	`associate-+r+_binary64`
35×	`distribute-rgt-in_binary64`
33×	`distribute-lft-in_binary64`
31×	`cube-prod_binary64`
28×	`*-lft-identity_binary64`
22×	`unpow3_binary64` `unswap-sqr_binary64`
21×	`log-prod_binary64` `exp-sum_binary64`
17×	`distribute-rgt-neg-out_binary64`
15×	`distribute-rgt-out_binary64`
13×	`cube-mult_binary64`
8×	`cube-unmult_binary64`
7×	`unpow1/2_binary64` `exp-diff_binary64` `difference-of-squares_binary64`
6×	`pow-sqr_binary64`
4×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `times-frac_binary64` `mul-1-neg_binary64`
3×	`div-exp_binary64` `associate--l-_binary64`
2×	`distribute-rgt-out--_binary64` `associate-/r*_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate--r-_binary64` `associate-+l-_binary64`

Counts

131 → 104

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	341	4235
1	953	3552
2	3367	3552
3	4873	3552
4	5039	3552

prune316.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	105	12	117

Error

0.1b

Counts

117 → 12

Compiler

Compiled 4101 to 556 computations (86.4% saved)

regimes4.7s (23.6%)

Accuracy

Total 0.1b remaining (66.9%)

Threshold costs 0.1b (66.9%)

Compiler

Compiled 64900 to 39672 computations (38.9% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
14×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
13×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	73
1	45	73
2	62	73
3	88	73
4	115	73
5	140	73
6	152	73
7	158	73
8	160	73
9	160	73

end2.0ms (0%)

Compiler: Compiled 44 to 26 computations (40.9% saved)

sample8.1s (41.2%)

Algorithm

1×

intervals

Results

5.5s	5386×	body	1024	valid
803.0ms	1244×	body	512	valid
433.0ms	196×	body	2048	valid
374.0ms	388×	body	256	valid
156.0ms	786×	body	128	valid

Compiler

Compiled 648 to 364 computations (43.8% saved)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Details

analyze3.1s (15.9%)

sample202.0ms (1%)

simplify25.0ms (0.1%)

prune8.0ms (0%)

localize21.0ms (0.1%)

rewrite146.0ms (0.7%)

series230.0ms (1.2%)

simplify122.0ms (0.6%)

prune114.0ms (0.6%)

localize28.0ms (0.1%)

rewrite152.0ms (0.8%)

series328.0ms (1.7%)

simplify123.0ms (0.6%)

prune160.0ms (0.8%)

localize33.0ms (0.2%)

rewrite283.0ms (1.4%)

series286.0ms (1.4%)

simplify114.0ms (0.6%)

prune205.0ms (1%)

localize35.0ms (0.2%)

rewrite241.0ms (1.2%)

series471.0ms (2.4%)

simplify154.0ms (0.8%)

prune316.0ms (1.6%)

regimes4.7s (23.6%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

end2.0ms (0%)

sample8.1s (41.2%)

Profiling

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39