Details

analyze882.0ms (18.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample68.0ms (1.4%)

Algorithm

1×

intervals

Results

39.0ms	137×	body	2048	valid
13.0ms	64×	body	1024	valid
4.0ms	28×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub_binary64`
602×	`neg-mul-1_binary64`
550×	`sub-neg_binary64`
311×	`associate-/r*_binary64`
286×	`distribute-neg-frac_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21

prune2.0ms (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

0.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.1b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite82.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
5.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1582 to 991 computations (37.4% saved)

series33.0ms (0.7%)

Error

0.5b

Counts

3 → 12

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
9.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
7.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 333 to 284 computations (14.7% saved)

simplify120.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-l_binary64`
391×	`div-sub_binary64`
376×	`times-frac_binary64`
364×	`associate-r_binary64`
235×	`associate-/l*_binary64`

Counts

83 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1943
1	298	1799
2	959	1785
3	3882	1785
4	4989	1785
5	4931	1785

prune26.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

0.5b

Counts

43 → 2

Alt Table

Status	Error	Program
▶	1.4b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 541 to 362 computations (33.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

rewrite72.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

12×	`cbrt-prod_binary64` `add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
4×	`add-log-exp_binary64`

Counts

4 → 71

Calls

4 calls:

5.0ms	(.f64 5 (.f64 v v))
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1688 to 1124 computations (33.4% saved)

series47.0ms (1%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
8.0ms	(.f64 5 (.f64 v v))
8.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
7.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

Compiler

Compiled 463 to 402 computations (13.2% saved)

simplify162.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

861×	`times-frac_binary64`
464×	`associate-l_binary64`
399×	`log-prod_binary64`
352×	`associate-r_binary64`
331×	`exp-prod_binary64`

Counts

83 → 56

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	95	2194
1	170	1895
2	459	1870
3	1691	1870
4	3618	1867
5	4880	1867
6	4991	1867
7	4874	1867

prune27.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	55	3	58

Error

0.5b

Counts

58 → 3

Alt Table

Status	Error	Program
	2.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
▶	1.4b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 3/2) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3/2)))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 650 to 438 computations (32.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 3/2) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3/2)))

rewrite68.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`

Counts

4 → 44

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
4.0ms	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 3/2) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3/2)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1864 to 1227 computations (34.2% saved)

series45.0ms (0.9%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

12.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
10.0ms	(.f64 5 (.f64 v v))
10.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
8.0ms	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 3/2) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3/2)))

Compiler

Compiled 837 to 660 computations (21.1% saved)

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-/l*_binary64`
586×	`div-sub_binary64`
402×	`associate-/r*_binary64`
313×	`associate-/r/_binary64`
258×	`associate-/l/_binary64`

Counts

56 → 35

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1184
1	126	1043
2	263	1034
3	663	1034
4	1487	1034
5	4458	1034
6	5546	1034

prune30.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Error

0.5b

Counts

38 → 3

Alt Table

Status	Error	Program
▶	2.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
✓	1.4b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 3/2) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3/2)))
✓	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 984 to 669 computations (32% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
1.0b	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 2)

rewrite97.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

17×	`cbrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`pow1/3_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`

Counts

4 → 61

Calls

4 calls:

3.0ms	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 2)
2.0ms	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))

Compiler

Compiled 3160 to 2135 computations (32.4% saved)

series121.0ms (2.5%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))) 2)
34.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
32.0ms	(cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
8.0ms	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

Compiler

Compiled 900 to 737 computations (18.1% saved)

simplify165.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

938×	`times-frac_binary64`
557×	`log-prod_binary64`
373×	`unswap-sqr_binary64`
363×	`*-commutative_binary64`
308×	`associate-l_binary64`

Counts

73 → 52

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	2083
1	151	2040
2	398	2028
3	1172	2020
4	2594	2002
5	4498	2002
6	4987	2002
7	4870	2002

prune37.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	51	4	55

Error

0.5b

Counts

55 → 4

Alt Table

Status	Error	Program
	2.0b	(cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))
	1.4b	(cbrt.f64 (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 3/2) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3/2)))
	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
	1.4b	(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 2)) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))) 3))

Compiler

Compiled 1127 to 754 computations (33.1% saved)

regimes214.0ms (4.5%)

Accuracy

Total 0.0b remaining (1.3%)

Threshold costs 0.0b (1.3%)

Compiler

Compiled 4962 to 3456 computations (30.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`sub-neg_binary64` `+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	22	21
2	29	21
3	36	21
4	41	21
5	44	21
6	45	21
7	42	21

end1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

sample2.2s (47%)

Algorithm

1×

intervals

Results

1.2s	4002×	body	2048	valid
403.0ms	1968×	body	1024	valid
153.0ms	1037×	body	512	valid
51.0ms	495×	body	256	valid
27.0ms	496×	body	128	valid
1.0ms	2×	body	4096	valid
0.0ms	9×	body	128	nan

Compiler

Compiled 176 to 122 computations (30.7% saved)

Details

analyze882.0ms (18.5%)

sample68.0ms (1.4%)

simplify79.0ms (1.7%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite82.0ms (1.7%)

series33.0ms (0.7%)

simplify120.0ms (2.5%)

prune26.0ms (0.5%)

localize13.0ms (0.3%)

rewrite72.0ms (1.5%)

series47.0ms (1%)

simplify162.0ms (3.4%)

prune27.0ms (0.6%)

localize14.0ms (0.3%)

rewrite68.0ms (1.4%)

series45.0ms (0.9%)

simplify94.0ms (2%)

prune30.0ms (0.6%)

localize18.0ms (0.4%)

rewrite97.0ms (2%)

series121.0ms (2.5%)

simplify165.0ms (3.4%)

prune37.0ms (0.8%)

regimes214.0ms (4.5%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.2s (47%)

Profiling