Details

analyze551.0ms (2.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	52
1	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)

sample437.0ms (1.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
3.0ms	67×	body	128	invalid

Compiler

Compiled 3249 to 4221 computations (-29.9% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	537	13
1	537	13

prune2.0ms (0%)

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

4.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 y) z)
3.9b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

rewrite76.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

4.0b

Rules

13×	`add-sqr-sqrt_binary64_20219`
9×	`-un-lft-identity_binary64_20197` `associate-l*_binary64_20138`
6×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232` `associate-r_binary64_20137`
2×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `add-log-exp_binary64_20236` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `sub-neg_binary64_20190` `distribute-rgt-in_binary64_20147` `cancel-sign-sub-inv_binary64_20163` `distribute-lft-in_binary64_20146` `flip3--_binary64_20201` `associate-r/_binary64_20139` `flip--_binary64_20172` `-commutative_binary64_20128` `associate-*l/_binary64_20140` `difference-of-squares_binary64_20166`
1×	`distribute-lft-out--_binary64_20149`

Counts

2 → 47

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 y) z)
6.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 771 to 543 computations (29.6% saved)

series307.0ms (1.4%)

Error

4.0b

Counts

2 → 24

Calls

2 calls:

213.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
78.0ms	(*.f64 (-.f64 1 y) z)

Compiler

Compiled 551 to 379 computations (31.2% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4957	805
1	4957	805

prune77.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	11	72

Error

3.9b

Counts

72 → 11

Compiler

Compiled 1039 to 573 computations (44.9% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
0.0b	(-.f64 (*.f64 z y) z)
3.9b	(.f64 x (-.f64 (.f64 z y) z))

rewrite72.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

15×	`cancel-sign-sub-inv_binary64_20163`
12×	`add-sqr-sqrt_binary64_20219`
10×	`add-cube-cbrt_binary64_20232` `*-un-lft-identity_binary64_20197`
8×	`distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146` `associate-+r+_binary64_20129`
7×	`add-log-exp_binary64_20236`
5×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `sub-neg_binary64_20190`
3×	`associate-l_binary64_20138` `associate-r_binary64_20137`
2×	`flip3--_binary64_20201` `associate-*r/_binary64_20139` `flip--_binary64_20172`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128` `diff-log_binary64_20289` `sum-log_binary64_20288` `flip3-+_binary64_20200` `flip-+_binary64_20171` `+-commutative_binary64_20127`

Counts

3 → 61

Calls

3 calls:

7.0ms	(.f64 x (-.f64 (.f64 z y) z))
4.0ms	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
4.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 1028 to 239 computations (76.8% saved)

series535.0ms (2.4%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

232.0ms	(+.f64 x (.f64 x (-.f64 (.f64 z y) z)))
202.0ms	(.f64 x (-.f64 (.f64 z y) z))
79.0ms	(-.f64 (*.f64 z y) z)

Compiler

Compiled 868 to 524 computations (39.6% saved)

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4934	1138
1	4934	1138

prune82.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	96	12	108

Error

3.9b

Counts

108 → 12

Compiler

Compiled 1380 to 348 computations (74.8% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 x (-.f64 (.f64 z y) z))
6.8b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
6.8b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
6.8b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))

rewrite113.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

10×	`add-sqr-sqrt_binary64_20219`
8×	`add-cube-cbrt_binary64_20232` `associate-r/_binary64_20139` `-un-lft-identity_binary64_20197`
6×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `cbrt-div_binary64_20229` `cancel-sign-sub-inv_binary64_20163`
4×	`add-log-exp_binary64_20236` `flip3--_binary64_20201` `flip--_binary64_20172` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146`
3×	`pow1/3_binary64_20279` `cbrt-prod_binary64_20228` `associate-l_binary64_20138` `associate-r_binary64_20137`
2×	`sub-neg_binary64_20190`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 x (-.f64 (.f64 z y) z))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))

Compiler

Compiled 2209 to 330 computations (85.1% saved)

series1.9s (8.3%)

Error

3.9b

Counts

4 → 51

Calls

4 calls:

543.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
538.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
527.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
197.0ms	(.f64 x (-.f64 (.f64 z y) z))

Compiler

Compiled 4944 to 2363 computations (52.2% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4966	1734
1	4966	1734

prune140.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	112	12	124

Error

3.9b

Counts

124 → 12

Compiler

Compiled 3828 to 637 computations (83.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(/.f64 (-.f64 (*.f64 z y) z) (/.f64 -1 x))
6.8b	(cbrt.f64 (/.f64 (-.f64 (*.f64 z y) z) (/.f64 -1 x)))
6.8b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
6.8b	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))

rewrite310.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

3.9b

Rules

141×	`times-frac_binary64_20203`
81×	`add-cube-cbrt_binary64_20232` `add-sqr-sqrt_binary64_20219` `*-un-lft-identity_binary64_20197`
46×	`cbrt-prod_binary64_20228`
13×	`associate-/r*_binary64_20141`
9×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `div-inv_binary64_20194`
5×	`cbrt-div_binary64_20229`
4×	`pow1_binary64_20258` `add-log-exp_binary64_20236` `associate-*r/_binary64_20139`
3×	`pow1/3_binary64_20279` `flip3--_binary64_20201` `flip--_binary64_20172` `div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `associate-/l*_binary64_20142`
2×	`associate-/r/_binary64_20143` `associate-/l/_binary64_20144`
1×	`frac-2neg_binary64_20208` `div-sub_binary64_20202` `clear-num_binary64_20196`

Counts

4 → 148

Calls

4 calls:

9.0ms	(/.f64 (-.f64 (*.f64 z y) z) (/.f64 -1 x))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (*.f64 z y) z) (/.f64 -1 x)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
5.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))

Compiler

Compiled 6757 to 2187 computations (67.6% saved)

series2.0s (9%)

Error

3.9b

Counts

4 → 51

Calls

4 calls:

634.0ms	(cbrt.f64 (/.f64 (-.f64 (*.f64 z y) z) (/.f64 -1 x)))
552.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
519.0ms	(cbrt.f64 (.f64 x (-.f64 (.f64 z y) z)))
241.0ms	(/.f64 (-.f64 (*.f64 z y) z) (/.f64 -1 x))

Compiler

Compiled 5612 to 3195 computations (43.1% saved)

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4993	4933
1	4993	4933

prune329.0ms (1.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	199	12	211

Error

3.9b

Counts

211 → 12

Compiler

Compiled 8282 to 2494 computations (69.9% saved)

regimes1.0s (4.6%)

Accuracy

Total 0.5b remaining (96.3%)

Threshold costs 0.5b (96.3%)

Compiler

Compiled 8288 to 6140 computations (25.9% saved)

bsearch433.0ms (1.9%)

Steps

Iters	Range		Point
10	9.822576134130763e-132	6.079385234343915e-122	5.387746339016036e-122
8	-1.7629096623791554	-0.0007370734306374087	-0.6671287443065765

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	54
1	63	54

end0.0ms (0%)

sample13.9s (61.1%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
95.0ms	2073×	body	128	invalid

Compiler

Compiled 101876 to 131771 computations (-29.3% saved)

Details

analyze551.0ms (2.4%)

sample437.0ms (1.9%)

simplify35.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite76.0ms (0.3%)

series307.0ms (1.4%)

simplify56.0ms (0.2%)

prune77.0ms (0.3%)

localize9.0ms (0%)

rewrite72.0ms (0.3%)

series535.0ms (2.4%)

simplify95.0ms (0.4%)

prune82.0ms (0.4%)

localize11.0ms (0%)

rewrite113.0ms (0.5%)

series1.9s (8.3%)

simplify79.0ms (0.3%)

prune140.0ms (0.6%)

localize21.0ms (0.1%)

rewrite310.0ms (1.4%)

series2.0s (9%)

simplify98.0ms (0.4%)

prune329.0ms (1.4%)

regimes1.0s (4.6%)

bsearch433.0ms (1.9%)

simplify3.0ms (0%)

end0.0ms (0%)

sample13.9s (61.1%)

Profiling