Details

analyze441.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

418×	`unsub-neg_binary64`
265×	`associate--r+_binary64`
234×	`distribute-rgt-in_binary64`
225×	`sub-neg_binary64`
196×	`distribute-lft-in_binary64`
139×	`distribute-rgt-neg-out_binary64`
136×	`associate--l+_binary64`
134×	`associate-r_binary64`
132×	`associate--r-_binary64`
126×	`distribute-neg-in_binary64`
125×	`distribute-lft-neg-out_binary64` `associate-l_binary64`
113×	`associate-+l+_binary64`
106×	`neg-sub0_binary64`
89×	`neg-mul-1_binary64`
86×	`associate--l-_binary64`
82×	`*-commutative_binary64`
79×	`associate-+r-_binary64`
73×	`associate-+l-_binary64`
72×	`distribute-neg-out_binary64`
61×	`cancel-sign-sub-inv_binary64`
54×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
44×	`mul0-rgt_binary64` `mul0-lft_binary64`
42×	`distribute-lft-neg-in_binary64`
41×	`distribute-rgt-out--_binary64`
38×	`remove-double-neg_binary64`
26×	`*-rgt-identity_binary64`
21×	`distribute-rgt-out_binary64`
20×	`*-lft-identity_binary64` `sub0-neg_binary64`
14×	`--rgt-identity_binary64`
12×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
9×	`distribute-lft1-in_binary64`
8×	`associate-+r+_binary64`
7×	`distribute-lft-out--_binary64`
6×	`distribute-rgt1-in_binary64`
3×	`+-lft-identity_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` `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` `cancel-sign-sub_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	55	52
2	136	52
3	341	52
4	936	52
5	1298	52
6	1500	52
7	1475	52
8	1513	52
9	1529	52
10	1717	52
11	1582	52
12	1628	52
13	1648	52
14	1640	52
15	1640	52
16	1272	52
17	1161	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	15×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

210×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64`
146×	`unsub-neg_binary64`
87×	`associate-r_binary64`
86×	`associate-l_binary64`
70×	`sub-neg_binary64`
56×	`associate--r+_binary64`
52×	`distribute-rgt-neg-out_binary64`
48×	`distribute-lft-neg-out_binary64`
39×	`cancel-sign-sub-inv_binary64`
38×	`distribute-neg-in_binary64`
36×	`neg-sub0_binary64`
31×	`associate-+l-_binary64`
30×	`neg-mul-1_binary64`
28×	`distribute-rgt-neg-in_binary64` `*-commutative_binary64`
25×	`associate-+r+_binary64`
23×	`mul0-rgt_binary64` `mul0-lft_binary64`
21×	`distribute-rgt-out--_binary64`
18×	`associate-+l+_binary64`
16×	`distribute-lft-neg-in_binary64`
13×	`associate-+r-_binary64` `+-commutative_binary64`
12×	`associate--l+_binary64`
11×	`-rgt-identity_binary64` `-lft-identity_binary64` `associate--r-_binary64`
10×	`remove-double-neg_binary64` `sub0-neg_binary64`
7×	`associate--l-_binary64`
6×	`distribute-lft1-in_binary64`
5×	`--rgt-identity_binary64` `distribute-rgt1-in_binary64`
4×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
2×	`mul-1-neg_binary64` `+-rgt-identity_binary64`
1×	`1-exp_binary64` `+-lft-identity_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` `times-frac_binary64` `div-sub_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

2.8b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
2.7b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite73.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

13×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `flip3--_binary64` `associate-r/_binary64` `flip--_binary64` `-commutative_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
1×	`distribute-lft-out--_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
7.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 716 to 503 computations (29.7% saved)

series58.0ms (1.2%)

Error

2.7b

Counts

2 → 24

Calls

2 calls:

34.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
15.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 423 to 345 computations (18.4% saved)

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

531×	`associate-+r+_binary64`
399×	`neg-mul-1_binary64`
324×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`
186×	`+-commutative_binary64`
169×	`distribute-rgt-neg-out_binary64`
167×	`distribute-lft-neg-out_binary64`
162×	`exp-prod_binary64`
154×	`*-commutative_binary64`
145×	`distribute-rgt-neg-in_binary64`
137×	`exp-sum_binary64`
128×	`distribute-lft-neg-in_binary64`
111×	`associate-l_binary64`
110×	`unsub-neg_binary64`
107×	`cancel-sign-sub-inv_binary64`
97×	`associate--r+_binary64`
90×	`distribute-neg-in_binary64`
89×	`associate-+l-_binary64`
84×	`associate-r_binary64`
78×	`neg-sub0_binary64`
76×	`exp-diff_binary64`
72×	`sub-neg_binary64`
70×	`div-sub_binary64`
46×	`associate-+r-_binary64`
45×	`sqr-pow_binary64`
43×	`*-lft-identity_binary64`
40×	`*-rgt-identity_binary64`
35×	`associate--l+_binary64`
20×	`cube-prod_binary64`
18×	`log-prod_binary64`
16×	`associate-+l+_binary64`
14×	`unswap-sqr_binary64` `swap-sqr_binary64`
12×	`sub0-neg_binary64`
11×	`remove-double-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
8×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
7×	`sqr-neg_binary64` `associate-/l*_binary64`
6×	`+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-rgt-out_binary64`
5×	`unpow3_binary64` `exp-neg_binary64` `cube-neg_binary64` `associate--r-_binary64`
4×	`unpow1/2_binary64` `cube-unmult_binary64` `rem-sqrt-square_binary64` `associate--l-_binary64`
3×	`distribute-neg-out_binary64` `associate-*r/_binary64`
2×	`cube-mult_binary64` `times-frac_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-/r*_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_binary64` `count-2_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` `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` `unpow2_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` `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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64`

Counts

71 → 51

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	859
1	238	805
2	684	805
3	1869	805
4	4368	805
5	4957	805

prune41.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Error

2.8b

Counts

52 → 6

Compiler

Compiled 628 to 360 computations (42.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))
2.9b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
2.9b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

rewrite161.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

18×	`cbrt-div_binary64`
13×	`cbrt-prod_binary64` `add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `flip3--_binary64` `flip--_binary64`
8×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
1×	`unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

20.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 2722 to 1658 computations (39.1% saved)

series406.0ms (8.1%)

Error

2.8b

Counts

4 → 58

Calls

4 calls:

163.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z)) (cbrt.f64 (-.f64 (+.f64 (.f64 z y) 1) z))))
51.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
51.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
49.0ms	(cbrt.f64 (-.f64 1 (*.f64 (-.f64 1 y) z)))

Compiler

Compiled 7714 to 5952 computations (22.8% saved)

simplify172.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

526×	`cancel-sign-sub-inv_binary64`
252×	`associate-r_binary64`
219×	`sub-neg_binary64`
208×	`associate-l_binary64`
177×	`*-commutative_binary64`
149×	`+-commutative_binary64`
131×	`distribute-neg-in_binary64`
110×	`times-frac_binary64`
105×	`associate-/r*_binary64`
100×	`associate-/l*_binary64`
99×	`unswap-sqr_binary64`
97×	`associate-+l+_binary64` `associate-+r+_binary64`
87×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-neg-frac_binary64`
84×	`sqr-pow_binary64`
74×	`associate-*r/_binary64`
73×	`associate--l+_binary64`
60×	`associate-*l/_binary64`
55×	`unsub-neg_binary64`
51×	`associate--r+_binary64`
46×	`distribute-rgt-neg-in_binary64`
42×	`distribute-lft-neg-in_binary64`
38×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
36×	`exp-sum_binary64`
33×	`log-prod_binary64`
27×	`exp-prod_binary64`
16×	`cube-prod_binary64`
15×	`swap-sqr_binary64` `associate-/r/_binary64`
13×	`unpow1/3_binary64`
12×	`log-pow_binary64`
11×	`distribute-rgt-out_binary64`
10×	`pow-sqr_binary64`
9×	`*-lft-identity_binary64`
8×	`exp-diff_binary64` `div-sub_binary64`
7×	`distribute-neg-out_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-unmult_binary64` `*-rgt-identity_binary64` `distribute-lft-out_binary64`
5×	`unpow3_binary64` `cube-mult_binary64` `remove-double-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64`
4×	`log-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
3×	`difference-of-squares_binary64`
2×	`log-rec_binary64` `pow-plus_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `rem-cbrt-cube_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_binary64` `count-2_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` `pow-base-0_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-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

128 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	4699
1	973	4336
2	3314	4152
3	4975	4152
4	4968	4152

prune172.0ms (3.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	111	7	118

Error

2.8b

Counts

118 → 7

Compiler

Compiled 4567 to 2804 computations (38.6% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

2.9b	(cbrt.f64 (-.f64 1 (*.f64 z (-.f64 1 y))))
2.9b	(cbrt.f64 (-.f64 1 (*.f64 z (-.f64 1 y))))
2.9b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
2.9b	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))

rewrite157.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

16×	`cbrt-prod_binary64`
12×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-div_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 56

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
6.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z (-.f64 1 y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 z (-.f64 1 y))))

Compiler

Compiled 3178 to 2202 computations (30.7% saved)

series343.0ms (6.8%)

Error

2.8b

Counts

4 → 52

Calls

4 calls:

60.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
60.0ms	(cbrt.f64 (-.f64 (+.f64 (*.f64 z y) 1) z))
60.0ms	(cbrt.f64 (-.f64 1 (*.f64 z (-.f64 1 y))))
58.0ms	(cbrt.f64 (-.f64 1 (*.f64 z (-.f64 1 y))))

Compiler

Compiled 8760 to 6619 computations (24.4% saved)

simplify131.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

530×	`associate-l_binary64`
427×	`associate-r_binary64`
265×	`associate-+l+_binary64`
208×	`cancel-sign-sub-inv_binary64`
190×	`associate--r+_binary64`
185×	`distribute-rgt-in_binary64`
171×	`associate--l+_binary64`
167×	`distribute-lft-in_binary64`
97×	`sub-neg_binary64`
93×	`times-frac_binary64`
91×	`distribute-rgt-neg-in_binary64`
81×	`distribute-lft-neg-in_binary64` `associate-/r*_binary64`
70×	`+-commutative_binary64`
55×	`associate-/l*_binary64`
53×	`exp-diff_binary64`
51×	`unswap-sqr_binary64` `distribute-neg-in_binary64`
46×	`*-commutative_binary64`
45×	`distribute-rgt-out_binary64`
44×	`sqr-pow_binary64`
43×	`exp-prod_binary64`
41×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r-_binary64`
38×	`associate-+r+_binary64`
35×	`associate-+l-_binary64`
25×	`distribute-lft-out_binary64`
21×	`unsub-neg_binary64`
20×	`exp-sum_binary64` `associate-*r/_binary64`
18×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
15×	`distribute-neg-frac_binary64`
14×	`associate--r-_binary64`
13×	`cube-prod_binary64`
12×	`distribute-rgt-out--_binary64` `associate-*l/_binary64`
11×	`distribute-rgt-neg-out_binary64`
10×	`log-div_binary64` `distribute-rgt1-in_binary64`
9×	`exp-neg_binary64` `*-lft-identity_binary64`
7×	`unpow3_binary64` `*-rgt-identity_binary64` `associate--l-_binary64`
6×	`unpow1/3_binary64` `swap-sqr_binary64`
5×	`exp-to-pow_binary64` `cube-mult_binary64` `associate-/r/_binary64`
4×	`log-pow_binary64` `div-sub_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `difference-of-squares_binary64` `associate-/l/_binary64`
2×	`log-rec_binary64` `cube-unmult_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-neg-out_binary64`
1×	`rec-exp_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_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` `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` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_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` `rem-square-sqrt_binary64` `mul-1-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64`

Counts

108 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	3056
1	396	2968
2	1188	2680
3	4847	2648
4	4960	2648

prune159.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Error

2.8b

Counts

85 → 7

Compiler

Compiled 4609 to 3206 computations (30.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 (+.f64 (.f64 z y) 1) z)))
2.7b	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
2.7b	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
2.7b	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))

rewrite174.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
18×	`cancel-sign-sub-inv_binary64`
16×	`add-cube-cbrt_binary64`
15×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-r_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`associate-*r/_binary64`
6×	`sub-neg_binary64` `associate--l+_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 107

Calls

4 calls:

10.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
10.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
10.0ms	(cbrt.f64 (.f64 x (-.f64 (+.f64 (.f64 z y) 1) z)))
10.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))

Compiler

Compiled 3960 to 2074 computations (47.6% saved)

series278.0ms (5.5%)

Error

2.8b

Counts

4 → 63

Calls

4 calls:

104.0ms	(cbrt.f64 (.f64 x (-.f64 (+.f64 (.f64 z y) 1) z)))
42.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
41.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))
41.0ms	(.f64 x (-.f64 (+.f64 (.f64 z y) 1) z))

Compiler

Compiled 5594 to 3674 computations (34.3% saved)

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-in_binary64`
458×	`distribute-lft-in_binary64`
248×	`cancel-sign-sub-inv_binary64`
188×	`associate-r_binary64`
179×	`associate-l_binary64`
168×	`times-frac_binary64`
129×	`sub-neg_binary64`
128×	`*-commutative_binary64`
119×	`unswap-sqr_binary64`
78×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out_binary64` `+-commutative_binary64`
72×	`distribute-lft-neg-in_binary64`
69×	`log-prod_binary64`
63×	`distribute-neg-in_binary64`
57×	`sqr-pow_binary64`
54×	`exp-sum_binary64`
53×	`neg-sub0_binary64`
51×	`neg-mul-1_binary64`
48×	`associate-+l+_binary64`
46×	`unsub-neg_binary64`
42×	`associate--l+_binary64`
41×	`associate-+r+_binary64`
38×	`distribute-lft-neg-out_binary64`
36×	`distribute-lft-out_binary64`
34×	`distribute-rgt-neg-out_binary64`
31×	`exp-prod_binary64`
30×	`associate-/r*_binary64`
25×	`associate--r+_binary64`
23×	`*-lft-identity_binary64` `distribute-neg-frac_binary64`
22×	`*-rgt-identity_binary64`
17×	`distribute-rgt-out--_binary64` `associate-*r/_binary64`
13×	`associate-*l/_binary64`
11×	`associate-/l*_binary64`
10×	`unpow1/3_binary64` `cube-prod_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64`
9×	`exp-diff_binary64`
8×	`log-div_binary64` `div-sub_binary64` `pow-sqr_binary64`
7×	`cube-unmult_binary64`
6×	`distribute-rgt1-in_binary64` `associate--r-_binary64`
4×	`unpow3_binary64` `cube-mult_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64`
2×	`rem-3cbrt-lft_binary64` `mul-1-neg_binary64`
1×	`pow-plus_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `+-rgt-identity_binary64` `difference-of-sqr--1_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` `pow-base-0_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-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_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` `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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

170 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	3314
1	590	3084
2	1933	2934
3	5104	2934

prune62.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	105	7	112

Error

2.8b

Counts

112 → 7

Compiler

Compiled 2085 to 1072 computations (48.6% saved)

regimes1.1s (22.4%)

Accuracy

Total 0.2b remaining (5.9%)

Threshold costs 0.2b (5.9%)

Compiler

Compiled 20970 to 15236 computations (27.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`cancel-sign-sub-inv_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64` `+-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64`
4×	`distribute-neg-in_binary64`
3×	`distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `remove-double-neg_binary64` `distribute-rgt-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` `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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	20	13
2	35	13
3	49	13
4	59	13
5	62	13
6	58	13

end1.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

sample765.0ms (15.2%)

Algorithm

1×

intervals

Results

235.0ms	8000×	body	128	valid
22.0ms	664×	body	128	invalid

Compiler

Compiled 268 to 209 computations (22% saved)

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13

Details

analyze441.0ms (8.8%)

sample17.0ms (0.3%)

simplify36.0ms (0.7%)

prune1.0ms (0%)

localize6.0ms (0.1%)

rewrite73.0ms (1.5%)

series58.0ms (1.2%)

simplify82.0ms (1.6%)

prune41.0ms (0.8%)

localize17.0ms (0.3%)

rewrite161.0ms (3.2%)

series406.0ms (8.1%)

simplify172.0ms (3.4%)

prune172.0ms (3.4%)

localize24.0ms (0.5%)

rewrite157.0ms (3.1%)

series343.0ms (6.8%)

simplify131.0ms (2.6%)

prune159.0ms (3.2%)

localize11.0ms (0.2%)

rewrite174.0ms (3.5%)

series278.0ms (5.5%)

simplify108.0ms (2.2%)

prune62.0ms (1.2%)

regimes1.1s (22.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample765.0ms (15.2%)

Profiling

Iter	Nodes	Cost
0	9	13
1	20	13
2	47	13
3	122	13
4	295	13
5	477	13
6	578	13
7	673	13
8	608	13
9	608	13
10	537	13