Details

analyze899.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	76
1	4978	76
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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
6.0ms	117×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune8.0ms (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

10.6b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.8b	(-.f64 (.f64 z z) (.f64 x x))
11.1b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite95.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64_17134`
11×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
5×	`difference-of-squares_binary64_17097`
4×	`add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `associate-/l*_binary64_17073`
3×	`associate-/r*_binary64_17072`
2×	`pow1_binary64_17189` `flip3--_binary64_17132` `associate-/l/_binary64_17075` `flip--_binary64_17103`
1×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `div-inv_binary64_17125` `diff-log_binary64_17220` `sub-neg_binary64_17121` `cancel-sign-sub-inv_binary64_17094`

Counts

2 → 47

Calls

2 calls:

13.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
8.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1043 to 305 computations (70.8% saved)

series363.0ms (5.6%)

Error

6.0b

Counts

2 → 27

Calls

2 calls:

230.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
108.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 867 to 726 computations (16.3% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4963	1124
1	4963	1124

prune94.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	6	76

Error

0.0b

Counts

76 → 6

Compiler

Compiled 1374 to 427 computations (68.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z x) y)
0.2b	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))

rewrite101.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_17150`
38×	`*-un-lft-identity_binary64_17128`
31×	`times-frac_binary64_17134`
22×	`add-cube-cbrt_binary64_17163`
19×	`associate-l_binary64_17069`
9×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
7×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
5×	`associate-/l*_binary64_17073`
4×	`pow1_binary64_17189` `associate-r_binary64_17068`
3×	`associate-/r*_binary64_17072`
2×	`div-exp_binary64_17179` `prod-exp_binary64_17177` `add-log-exp_binary64_17167` `cbrt-unprod_binary64_17161` `cbrt-undiv_binary64_17162` `flip3-+_binary64_17131` `frac-times_binary64_17138` `flip-+_binary64_17102` `unswap-sqr_binary64_17096` `associate-*r/_binary64_17070` `div-inv_binary64_17125` `associate-/l/_binary64_17075`
1×	`pow-prod-down_binary64_17199` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-l/_binary64_17071` `distribute-lft-out_binary64_17079` `-commutative_binary64_17059` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `flip3--_binary64_17132` `flip--_binary64_17103`

Counts

2 → 83

Calls

2 calls:

19.0ms	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))
10.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 1770 to 561 computations (68.3% saved)

series416.0ms (6.5%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

257.0ms	(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z))
126.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 1050 to 734 computations (30.1% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4975	1539
1	4975	1539

prune121.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Error

Counts

119 → 7

Compiler

Compiled 2130 to 662 computations (68.9% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z x))
0.4b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite223.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

174×	`times-frac_binary64_17134`
161×	`*-un-lft-identity_binary64_17128`
117×	`add-sqr-sqrt_binary64_17150`
79×	`add-cube-cbrt_binary64_17163`
26×	`associate-/r*_binary64_17072`
22×	`distribute-lft-out_binary64_17079`
19×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
13×	`associate-/r/_binary64_17074`
9×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
7×	`div-inv_binary64_17125` `associate-/l*_binary64_17073`
6×	`flip3--_binary64_17132` `flip--_binary64_17103`
4×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
2×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l/_binary64_17075`
1×	`flip3-+_binary64_17131` `flip-+_binary64_17102`

Counts

2 → 163

Calls

2 calls:

25.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
11.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 4023 to 1164 computations (71.1% saved)

series496.0ms (7.7%)

Error

Counts

2 → 42

Calls

2 calls:

242.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
187.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 1836 to 1246 computations (32.1% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4982	4571
1	4982	4571

prune177.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	205	7	212

Error

Counts

212 → 7

Compiler

Compiled 4569 to 1254 computations (72.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite148.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_17159`
23×	`add-sqr-sqrt_binary64_17150`
15×	`add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
11×	`pow1_binary64_17189`
9×	`pow1/3_binary64_17210`
6×	`add-exp-log_binary64_17166` `swap-sqr_binary64_17095` `associate-l_binary64_17069` `associate-r_binary64_17068`
4×	`add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164` `unswap-sqr_binary64_17096`
2×	`pow-prod-down_binary64_17199` `pow-prod-up_binary64_17198` `pow-sqr_binary64_17101`
1×	`pow2_binary64_17209` `pow-plus_binary64_17191` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `*-commutative_binary64_17059`

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

Compiler

Compiled 1816 to 523 computations (71.2% saved)

series363.0ms (5.6%)

Error

Counts

4 → 12

Calls

4 calls:

108.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
86.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
73.0ms	(cbrt.f64 y)

Compiler

Compiled 807 to 531 computations (34.2% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune82.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Error

Counts

92 → 7

Compiler

Compiled 1913 to 599 computations (68.7% saved)

regimes534.0ms (8.3%)

Accuracy

Total 0.1b remaining (71.4%)

Threshold costs 0.1b (71.4%)

Compiler

Compiled 5690 to 3496 computations (38.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.8s (27.8%)

Algorithm

1×

intervals

Results

419.0ms	8000×	body	128	valid
157.0ms	2885×	body	128	invalid

Compiler

Compiled 836 to 528 computations (36.8% saved)

Details

analyze899.0ms (14%)

sample37.0ms (0.6%)

simplify100.0ms (1.6%)

prune8.0ms (0.1%)

localize16.0ms (0.3%)

rewrite95.0ms (1.5%)

series363.0ms (5.6%)

simplify80.0ms (1.2%)

prune94.0ms (1.5%)

localize8.0ms (0.1%)

rewrite101.0ms (1.6%)

series416.0ms (6.5%)

simplify75.0ms (1.2%)

prune121.0ms (1.9%)

localize16.0ms (0.3%)

rewrite223.0ms (3.5%)

series496.0ms (7.7%)

simplify81.0ms (1.3%)

prune177.0ms (2.7%)

localize12.0ms (0.2%)

rewrite148.0ms (2.3%)

series363.0ms (5.6%)

simplify101.0ms (1.6%)

prune82.0ms (1.3%)

regimes534.0ms (8.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (27.8%)

Profiling