Details

analyze264.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

518×	`div-sub_binary64`
480×	`cancel-sign-sub-inv_binary64`
440×	`associate-/l*_binary64`
364×	`distribute-rgt-in_binary64`
300×	`associate-/r/_binary64`
282×	`distribute-lft-in_binary64`
246×	`associate-/l/_binary64`
220×	`distribute-neg-frac_binary64`
216×	`sub-neg_binary64`
200×	`associate-/r*_binary64`
192×	`times-frac_binary64`
168×	`distribute-rgt-neg-in_binary64`
166×	`unsub-neg_binary64`
154×	`distribute-lft-neg-in_binary64`
108×	`*-commutative_binary64`
94×	`associate-*l/_binary64`
90×	`associate-r_binary64`
84×	`distribute-rgt-neg-out_binary64`
74×	`associate--r+_binary64`
70×	`neg-sub0_binary64`
62×	`neg-mul-1_binary64`
58×	`distribute-neg-in_binary64`
56×	`distribute-lft-neg-out_binary64`
52×	`associate-*r/_binary64`
48×	`associate-l_binary64`
36×	`mul0-rgt_binary64` `div0_binary64`
32×	`mul0-lft_binary64` `+-commutative_binary64`
28×	`associate-+l-_binary64`
26×	`associate--r-_binary64`
22×	`*-lft-identity_binary64` `associate--l+_binary64`
20×	`/-rgt-identity_binary64` `sub0-neg_binary64`
18×	`*-rgt-identity_binary64` `remove-double-neg_binary64`
16×	`distribute-frac-neg_binary64`
14×	`associate-+l+_binary64`
12×	`associate--l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
10×	`mul-1-neg_binary64` `--rgt-identity_binary64` `remove-double-div_binary64`
6×	`+-rgt-identity_binary64` `distribute-neg-out_binary64`
4×	`distribute-rgt1-in_binary64`
2×	`distribute-rgt-out--_binary64` `distribute-lft-out_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` `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` `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` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	100	36
3	199	36
4	345	36
5	537	36
6	1012	36
7	1304	36
8	1224	36
9	1367	36
10	1617	36
11	1639	36
12	1825	36
13	1773	36
14	1833	36
15	1885	36
16	1741	36
17	1741	36
18	1741	36
19	1741	36
20	1649	36
21	1669	36
22	1653	36
23	1432	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	4×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify35.0ms (1%)

Algorithm

1×	egg-herbie

Rules

228×	`cancel-sign-sub-inv_binary64`
83×	`associate-/l*_binary64`
72×	`distribute-rgt-in_binary64`
70×	`associate-/r/_binary64`
65×	`div-sub_binary64`
55×	`distribute-neg-frac_binary64` `associate-/r*_binary64`
54×	`sub-neg_binary64`
53×	`distribute-lft-in_binary64`
51×	`distribute-rgt-neg-in_binary64`
46×	`associate-/l/_binary64`
40×	`associate-r_binary64`
38×	`distribute-lft-neg-in_binary64`
32×	`times-frac_binary64`
27×	`unsub-neg_binary64`
26×	`distribute-rgt-neg-out_binary64`
25×	`associate--r+_binary64`
24×	`neg-mul-1_binary64`
23×	`distribute-lft-neg-out_binary64`
21×	`associate-*l/_binary64`
20×	`neg-sub0_binary64`
19×	`distribute-neg-in_binary64` `*-commutative_binary64`
17×	`associate-*r/_binary64`
16×	`associate-l_binary64`
13×	`associate--r-_binary64` `associate-+l-_binary64`
12×	`+-commutative_binary64`
11×	`*-lft-identity_binary64` `associate--l+_binary64`
10×	`sub0-neg_binary64`
8×	`remove-double-neg_binary64` `mul0-rgt_binary64`
7×	`associate-+l+_binary64`
6×	`mul0-lft_binary64` `div0_binary64` `associate--l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
5×	`*-rgt-identity_binary64` `--rgt-identity_binary64`
4×	`/-rgt-identity_binary64`
3×	`+-rgt-identity_binary64` `distribute-neg-out_binary64`
2×	`distribute-frac-neg_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `distribute-rgt-out--_binary64` `distribute-lft-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` `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` `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` `+-lft-identity_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` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.5b	(/.f64 1 (*.f64 x 9))

rewrite170.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
16×	`add-cbrt-cube_binary64`
13×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `times-frac_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`div-exp_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-r*_binary64`
5×	`prod-exp_binary64`
4×	`cbrt-undiv_binary64` `div-inv_binary64` `sqrt-prod_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-flip_binary64` `1-exp_binary64` `rec-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`inv-pow_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64`

Counts

4 → 93

Calls

4 calls:

6.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 1646 to 1217 computations (26.1% saved)

series55.0ms (1.6%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

23.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
11.0ms	(-.f64 1 (/.f64 1 (*.f64 x 9)))
8.0ms	(*.f64 3 (sqrt.f64 x))
6.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 558 to 505 computations (9.5% saved)

simplify102.0ms (3%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
491×	`associate-/l*_binary64`
352×	`associate-/r*_binary64`
335×	`associate-*l/_binary64`
286×	`associate-/l/_binary64`
249×	`associate-*r/_binary64`
133×	`associate-/r/_binary64`
85×	`div-sub_binary64`
79×	`log-div_binary64`
78×	`associate-l_binary64`
67×	`neg-mul-1_binary64`
64×	`neg-sub0_binary64`
62×	`*-commutative_binary64`
60×	`sub-neg_binary64`
56×	`cube-div_binary64`
53×	`log-prod_binary64`
50×	`associate-r_binary64`
49×	`distribute-rgt-neg-in_binary64`
46×	`distribute-neg-frac_binary64`
45×	`exp-prod_binary64`
44×	`cancel-sign-sub-inv_binary64`
42×	`distribute-lft-neg-in_binary64`
35×	`cube-prod_binary64`
34×	`unpow3_binary64`
33×	`distribute-rgt-in_binary64`
29×	`unsub-neg_binary64`
25×	`distribute-lft-in_binary64`
23×	`swap-sqr_binary64`
19×	`sqr-pow_binary64`
18×	`+-commutative_binary64`
11×	`exp-sum_binary64` `cube-mult_binary64` `distribute-lft-neg-out_binary64`
9×	`cube-unmult_binary64` `unswap-sqr_binary64`
8×	`distribute-neg-in_binary64`
7×	`log-rec_binary64`
6×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate--r+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
5×	`pow-plus_binary64` `exp-cbrt_binary64` `exp-diff_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
4×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64`
3×	`pow-sqr_binary64` `count-2_binary64` `associate-+l+_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64`
1×	`log-pow_binary64` `unpow1/2_binary64` `exp-lft-cube_binary64` `div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `+-rgt-identity_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

111 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1104
1	353	925
2	986	921
3	4577	921
4	4917	921
5	4909	921

prune64.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	58	9	67
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	59	10	69

Error

0.0b

Counts

69 → 10

Compiler

Compiled 768 to 589 computations (23.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1/9 x))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1/9 x)

rewrite190.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
23×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-r*_binary64`
4×	`associate-/r*_binary64` `sqrt-prod_binary64` `difference-of-squares_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

4 → 99

Calls

4 calls:

8.0ms	(-.f64 1 (/.f64 1/9 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(*.f64 3 (sqrt.f64 x))
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1708 to 1174 computations (31.3% saved)

series52.0ms (1.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

22.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
9.0ms	(-.f64 1 (/.f64 1/9 x))
9.0ms	(*.f64 3 (sqrt.f64 x))
6.0ms	(/.f64 1/9 x)

Compiler

Compiled 520 to 467 computations (10.2% saved)

simplify129.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-/l*_binary64`
371×	`associate-l_binary64`
312×	`associate-*l/_binary64`
291×	`associate-r_binary64`
267×	`times-frac_binary64`
241×	`associate-*r/_binary64`
239×	`exp-prod_binary64`
217×	`associate-/r*_binary64`
193×	`distribute-neg-frac_binary64`
155×	`cancel-sign-sub-inv_binary64`
149×	`associate-/l/_binary64`
131×	`*-commutative_binary64`
122×	`distribute-rgt-neg-out_binary64`
97×	`log-div_binary64`
96×	`log-prod_binary64`
91×	`div-sub_binary64`
87×	`cube-div_binary64`
78×	`sub-neg_binary64`
68×	`associate-/r/_binary64`
67×	`sqr-pow_binary64`
65×	`swap-sqr_binary64`
63×	`neg-sub0_binary64`
59×	`distribute-rgt-neg-in_binary64`
57×	`neg-mul-1_binary64`
48×	`exp-diff_binary64` `exp-sum_binary64` `cube-prod_binary64`
47×	`unsub-neg_binary64`
42×	`distribute-lft-neg-in_binary64`
41×	`distribute-rgt-in_binary64`
39×	`unpow3_binary64`
37×	`distribute-lft-neg-out_binary64`
34×	`*-lft-identity_binary64`
33×	`distribute-frac-neg_binary64`
32×	`distribute-lft-in_binary64`
30×	`cube-mult_binary64` `+-commutative_binary64`
29×	`*-rgt-identity_binary64`
26×	`unswap-sqr_binary64`
20×	`exp-cbrt_binary64`
17×	`exp-neg_binary64`
14×	`cube-unmult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`log-rec_binary64`
10×	`div0_binary64` `associate-+l+_binary64`
9×	`pow-plus_binary64` `associate-+l-_binary64`
7×	`/-rgt-identity_binary64` `sub0-neg_binary64` `pow-sqr_binary64`
6×	`distribute-rgt-out_binary64`
5×	`log-pow_binary64` `difference-of-sqr-1_binary64` `associate-+r+_binary64`
4×	`rem-sqrt-square_binary64` `distribute-rgt1-in_binary64` `associate--r+_binary64`
3×	`prod-exp_binary64` `distribute-neg-in_binary64` `associate-+r-_binary64`
2×	`unpow1/3_binary64` `unpow1/2_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-lft-out_binary64`
1×	`unpow2_binary64` `exp-lft-cube_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-neg_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` `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` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

117 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	1129
1	403	1048
2	1071	1044
3	3567	1044
4	4570	1044
5	4981	1044
6	4847	1044

prune72.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	60	11	71

Error

0.0b

Counts

71 → 11

Compiler

Compiled 729 to 545 computations (25.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(*.f64 (/.f64 1 x) 1/9)

rewrite190.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64` `associate-l_binary64`
14×	`times-frac_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`div-exp_binary64` `cbrt-unprod_binary64` `sqrt-prod_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `rec-exp_binary64` `associate-l/_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 90

Calls

4 calls:

7.0ms	(*.f64 (/.f64 1 x) 1/9)
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
3.0ms	(-.f64 1 (*.f64 (/.f64 1 x) 1/9))

Compiler

Compiled 1689 to 1228 computations (27.3% saved)

series54.0ms (1.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

24.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
9.0ms	(-.f64 1 (*.f64 (/.f64 1 x) 1/9))
8.0ms	(*.f64 3 (sqrt.f64 x))
7.0ms	(*.f64 (/.f64 1 x) 1/9)

Compiler

Compiled 558 to 505 computations (9.5% saved)

simplify151.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

573×	`associate-/r/_binary64`
339×	`unsub-neg_binary64`
258×	`associate-/l*_binary64`
256×	`times-frac_binary64`
227×	`associate-l_binary64`
224×	`cancel-sign-sub-inv_binary64`
214×	`sub-neg_binary64`
200×	`div-sub_binary64`
195×	`associate-*l/_binary64`
186×	`associate-/r*_binary64`
156×	`associate-r_binary64`
155×	`distribute-rgt-neg-in_binary64`
154×	`sqr-pow_binary64`
149×	`neg-mul-1_binary64`
141×	`neg-sub0_binary64` `distribute-lft-neg-in_binary64`
134×	`associate-*r/_binary64`
133×	`distribute-rgt-in_binary64`
129×	`distribute-neg-frac_binary64`
104×	`associate-/l/_binary64`
97×	`distribute-lft-in_binary64`
90×	`associate-+r-_binary64` `associate-+r+_binary64`
85×	`*-commutative_binary64`
59×	`associate-+l+_binary64`
58×	`associate-+l-_binary64`
48×	`exp-prod_binary64`
38×	`pow-sqr_binary64`
31×	`cube-prod_binary64` `distribute-lft-neg-out_binary64` `+-commutative_binary64`
30×	`*-lft-identity_binary64`
29×	`+-lft-identity_binary64`
28×	`log-div_binary64`
26×	`*-rgt-identity_binary64` `distribute-rgt-neg-out_binary64`
24×	`cube-div_binary64`
23×	`sub0-neg_binary64`
21×	`unswap-sqr_binary64`
20×	`log-prod_binary64` `exp-sum_binary64` `rem-sqrt-square_binary64` `associate--r+_binary64`
19×	`associate--l+_binary64`
18×	`exp-diff_binary64`
17×	`+-rgt-identity_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64` `swap-sqr_binary64`
15×	`unpow3_binary64`
14×	`remove-double-neg_binary64`
13×	`div0_binary64`
12×	`cube-unmult_binary64`
10×	`pow-plus_binary64`
9×	`cube-mult_binary64` `distribute-rgt1-in_binary64`
8×	`distribute-rgt-out_binary64`
7×	`--rgt-identity_binary64`
6×	`unpow1/2_binary64` `distribute-neg-in_binary64`
5×	`sqr-neg_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`
4×	`mul-1-neg_binary64`
3×	`prod-exp_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `count-2_binary64`
2×	`log-rec_binary64` `unpow2_binary64` `cube-neg_binary64` `/-rgt-identity_binary64` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64` `associate--r-_binary64`
1×	`log-pow_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

108 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1012
1	341	928
2	838	924
3	2478	924
4	4032	924
5	4472	924
6	4952	924
7	4996	924
8	4837	924

prune85.0ms (2.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	66	11	77

Error

Counts

77 → 11

Compiler

Compiled 995 to 743 computations (25.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 1 (/.f64 1/9 x)))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1/9 x)

rewrite168.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`times-frac_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-r*_binary64`
4×	`associate-/r*_binary64` `sqrt-prod_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64`

Counts

4 → 83

Calls

4 calls:

6.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
3.0ms	(-.f64 1 (*.f64 1 (/.f64 1/9 x)))
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1551 to 1115 computations (28.1% saved)

series53.0ms (1.6%)

Error

Counts

4 → 18

Calls

4 calls:

22.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
9.0ms	(-.f64 1 (*.f64 1 (/.f64 1/9 x)))
7.0ms	(*.f64 3 (sqrt.f64 x))
7.0ms	(/.f64 1/9 x)

Compiler

Compiled 572 to 519 computations (9.3% saved)

simplify106.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-/r/_binary64`
276×	`unsub-neg_binary64`
274×	`div-sub_binary64`
262×	`associate-/l*_binary64`
249×	`neg-mul-1_binary64`
228×	`times-frac_binary64`
207×	`cancel-sign-sub-inv_binary64`
194×	`associate-l_binary64`
183×	`associate-/r*_binary64`
150×	`distribute-neg-frac_binary64`
144×	`associate-*l/_binary64`
137×	`associate-r_binary64`
126×	`sub-neg_binary64` `distribute-neg-out_binary64`
122×	`associate-*r/_binary64`
116×	`associate-/l/_binary64`
115×	`distribute-rgt-in_binary64`
103×	`neg-sub0_binary64`
97×	`distribute-rgt-neg-in_binary64`
90×	`sqr-pow_binary64`
87×	`distribute-lft-in_binary64`
86×	`distribute-lft-neg-in_binary64`
76×	`*-commutative_binary64`
41×	`associate-+l-_binary64` `associate-+l+_binary64`
38×	`associate-+r+_binary64`
32×	`distribute-lft-neg-out_binary64`
31×	`exp-prod_binary64`
29×	`*-lft-identity_binary64`
28×	`distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
27×	`cube-prod_binary64` `swap-sqr_binary64`
26×	`+-commutative_binary64`
24×	`log-prod_binary64` `cube-div_binary64`
22×	`*-rgt-identity_binary64`
20×	`log-div_binary64`
19×	`sub0-neg_binary64`
18×	`pow-sqr_binary64`
16×	`exp-sum_binary64` `rem-sqrt-square_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
12×	`unpow3_binary64`
11×	`cube-unmult_binary64` `+-rgt-identity_binary64`
9×	`cube-mult_binary64` `unswap-sqr_binary64`
8×	`exp-diff_binary64` `/-rgt-identity_binary64` `cancel-sign-sub_binary64` `distribute-rgt-out_binary64`
7×	`pow-plus_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64`
6×	`distribute-rgt1-in_binary64`
5×	`unpow1/2_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `associate--l+_binary64` `associate--r+_binary64`
4×	`div0_binary64`
3×	`prod-exp_binary64` `sqr-neg_binary64` `difference-of-sqr-1_binary64` `distribute-neg-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`
2×	`log-rec_binary64` `cube-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

101 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1009
1	303	928
2	747	924
3	2277	924
4	3715	924
5	4487	924
6	4874	924

prune62.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	46	11	57

Error

Counts

57 → 11

Compiler

Compiled 572 to 419 computations (26.7% saved)

regimes465.0ms (13.6%)

Accuracy

Total 0.2b remaining (87.8%)

Threshold costs 0.2b (87.8%)

Compiler

Compiled 5555 to 4948 computations (10.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`distribute-neg-frac_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` `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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	21	21
2	32	21
3	38	21
4	42	21
5	43	21
6	41	21

end1.0ms (0%)

Compiler: Compiled 14 to 13 computations (7.1% saved)

sample876.0ms (25.7%)

Algorithm

1×

intervals

Results

376.0ms	8000×	body	128	valid
4.0ms	94×	body	128	invalid

Compiler

Compiled 226 to 211 computations (6.6% saved)

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18

Details

analyze264.0ms (7.7%)

sample25.0ms (0.7%)

simplify35.0ms (1%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite170.0ms (5%)

series55.0ms (1.6%)

simplify102.0ms (3%)

prune64.0ms (1.9%)

localize9.0ms (0.3%)

rewrite190.0ms (5.6%)

series52.0ms (1.5%)

simplify129.0ms (3.8%)

prune72.0ms (2.1%)

localize11.0ms (0.3%)

rewrite190.0ms (5.6%)

series54.0ms (1.6%)

simplify151.0ms (4.4%)

prune85.0ms (2.5%)

localize10.0ms (0.3%)

rewrite168.0ms (4.9%)

series53.0ms (1.6%)

simplify106.0ms (3.1%)

prune62.0ms (1.8%)

regimes465.0ms (13.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample876.0ms (25.7%)

Profiling

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18