Details

analyze926.0ms (16.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample35.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
2.0ms	37×	body	128	invalid
2.0ms	41×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify628.0ms (11.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (458.0ms)

Iter	Nodes	Cost
0	3655	24
1	3655	24

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_4917`
13×	`*-un-lft-identity_binary64_4895`
12×	`log-prod_binary64_4981` `add-log-exp_binary64_4934`
11×	`add-cube-cbrt_binary64_4930`
8×	`pow1_binary64_4956` `associate-l_binary64_4836`
7×	`associate-r_binary64_4835` `add-cbrt-cube_binary64_4931` `add-exp-log_binary64_4933`
6×	`distribute-lft-in_binary64_4844` `associate--r+_binary64_4831` `distribute-rgt-in_binary64_4845`
3×	`diff-log_binary64_4987` `sum-log_binary64_4986`
2×	`flip3--_binary64_4899` `associate-l/_binary64_4838` `cbrt-unprod_binary64_4928` `flip--_binary64_4870` `unswap-sqr_binary64_4863` `prod-exp_binary64_4944` `pow-prod-down_binary64_4966` `-commutative_binary64_4826`
1×	`distribute-lft-out--_binary64_4847` `sub-neg_binary64_4888` `log-pow_binary64_4984` `associate--l+_binary64_4832` `difference-of-squares_binary64_4864` `cancel-sign-sub-inv_binary64_4861`

Counts

3 → 68

Calls

3 calls:

12.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
8.0ms	(*.f64 (-.f64 a 1/2) b)
6.0ms	(*.f64 z (log.f64 t))

series173.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
60.0ms	(*.f64 z (log.f64 t))
38.0ms	(*.f64 (-.f64 a 1/2) b)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4998	974
1	4998	974

prune159.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

Compiler

Compiled 3058 to 1753 computations (42.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.3b	(*.f64 z (log.f64 t))
0.3b	(-.f64 z (*.f64 z (log.f64 t)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_4895`
18×	`add-log-exp_binary64_4934` `add-sqr-sqrt_binary64_4917`
12×	`log-prod_binary64_4981` `add-cube-cbrt_binary64_4930`
9×	`pow1_binary64_4956`
8×	`add-cbrt-cube_binary64_4931` `associate-l_binary64_4836` `add-exp-log_binary64_4933`
7×	`associate-r_binary64_4835`
6×	`distribute-lft-in_binary64_4844` `associate--r+_binary64_4831` `distribute-rgt-in_binary64_4845` `sum-log_binary64_4986`
4×	`flip3--_binary64_4899` `flip--_binary64_4870` `frac-add_binary64_4903`
3×	`diff-log_binary64_4987` `distribute-lft-out_binary64_4846` `flip-+_binary64_4869` `flip3-+_binary64_4898`
2×	`associate-l/_binary64_4838` `cbrt-unprod_binary64_4928` `sub-neg_binary64_4888` `unswap-sqr_binary64_4863` `cancel-sign-sub-inv_binary64_4861` `prod-exp_binary64_4944` `pow-prod-down_binary64_4966` `associate-+r+_binary64_4827` `-commutative_binary64_4826`
1×	`distribute-lft-out--_binary64_4847` `+-commutative_binary64_4825` `log-pow_binary64_4984` `difference-of-squares_binary64_4864` `associate-+l+_binary64_4828` `associate-+r-_binary64_4829`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))

series232.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
62.0ms	(-.f64 z (*.f64 z (log.f64 t)))
48.0ms	(*.f64 z (log.f64 t))
45.0ms	(*.f64 (-.f64 a 1/2) b)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4806	1476
1	4806	1476

prune107.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Merged error: 0.0b

Counts

107 → 7

Compiler

Compiled 2524 to 1008 computations (60.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64_4981`
30×	`distribute-lft-in_binary64_4844` `distribute-rgt-in_binary64_4845`
24×	`cbrt-prod_binary64_4926`
23×	`add-sqr-sqrt_binary64_4917`
21×	`add-cube-cbrt_binary64_4930` `*-un-lft-identity_binary64_4895`
12×	`pow1_binary64_4956`
11×	`add-cbrt-cube_binary64_4931` `add-exp-log_binary64_4933`
6×	`associate-r_binary64_4835` `associate-l_binary64_4836`
4×	`add-log-exp_binary64_4934` `cbrt-unprod_binary64_4928` `prod-exp_binary64_4944` `pow-prod-down_binary64_4966`
3×	`pow1/3_binary64_4977`
2×	`log-pow_binary64_4984` `*-commutative_binary64_4826`
1×	`unswap-sqr_binary64_4863`

Counts

4 → 96

Calls

4 calls:

8.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series605.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt.f64 t)
169.0ms	(cbrt.f64 t)
134.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
131.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4908	1362
1	4908	1362

prune173.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

Compiler

Compiled 3871 to 1871 computations (51.7% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(*.f64 z (log.f64 (pow.f64 t 1/3)))
0.5b	(cbrt.f64 t)
5.0b	(pow.f64 t 1/3)

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`log-prod_binary64_4981`
31×	`distribute-lft-in_binary64_4844` `distribute-rgt-in_binary64_4845`
24×	`add-sqr-sqrt_binary64_4917`
22×	`add-cube-cbrt_binary64_4930` `*-un-lft-identity_binary64_4895`
15×	`cbrt-prod_binary64_4926`
12×	`pow1_binary64_4956` `add-exp-log_binary64_4933`
11×	`add-cbrt-cube_binary64_4931`
9×	`unpow-prod-down_binary64_4974`
6×	`associate-l_binary64_4836`
5×	`associate-r_binary64_4835`
4×	`add-log-exp_binary64_4934` `cbrt-unprod_binary64_4928` `prod-exp_binary64_4944` `pow-prod-down_binary64_4966`
3×	`pow-unpow_binary64_4972` `sqr-pow_binary64_4867`
2×	`*-commutative_binary64_4826`
1×	`pow1/3_binary64_4977` `pow-to-exp_binary64_4964` `log-pow_binary64_4984` `unswap-sqr_binary64_4863` `pow-pow_binary64_4967` `unpow1/3_binary64_4962` `pow-exp_binary64_4963`

Counts

4 → 104

Calls

4 calls:

8.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))
3.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

series548.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 t)
141.0ms	(pow.f64 t 1/3)
133.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
110.0ms	(*.f64 z (log.f64 (pow.f64 t 1/3)))

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4973	1276
1	4973	1276

prune161.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

Compiler

Compiled 3609 to 1825 computations (49.4% saved)

regimes191.0ms (3.4%)

Compiler: Compiled 1628 to 1464 computations (10.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	24
1	55	24

end0.0ms (0%)

sample1.2s (21.9%)

Algorithm

1×

intervals

Results

501.0ms	7996×	body	128	valid
76.0ms	1167×	body	128	invalid
60.0ms	1109×	body	128	nan
1.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 215 to 191 computations (11.2% saved)

Details

analyze926.0ms (16.4%)

sample35.0ms (0.6%)

simplify628.0ms (11.1%)

prune2.0ms (0%)

localize13.0ms (0.2%)

rewrite34.0ms (0.6%)

series173.0ms (3.1%)

simplify55.0ms (1%)

prune159.0ms (2.8%)

localize16.0ms (0.3%)

rewrite34.0ms (0.6%)

series232.0ms (4.1%)

simplify74.0ms (1.3%)

prune107.0ms (1.9%)

localize18.0ms (0.3%)

rewrite28.0ms (0.5%)

series605.0ms (10.7%)

simplify57.0ms (1%)

prune173.0ms (3.1%)

localize28.0ms (0.5%)

rewrite30.0ms (0.5%)

series548.0ms (9.7%)

simplify79.0ms (1.4%)

prune161.0ms (2.8%)

regimes191.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (21.9%)

Profiling