Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample35.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	62×	body	1024	valid
6.0ms	42×	body	512	valid
5.0ms	130×	body	128	valid
2.0ms	6×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify241.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4638	15
1	4638	15

prune2.0ms (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

Merged error: 30.2b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_767`
24×	`add-sqr-sqrt_binary64_789`
15×	`times-frac_binary64_773`
13×	`add-cube-cbrt_binary64_802`
7×	`add-log-exp_binary64_806`
5×	`distribute-lft-out_binary64_718` `add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
4×	`associate-/r*_binary64_711` `difference-of-squares_binary64_736`
3×	`pow1_binary64_828` `associate-/l*_binary64_712` `cancel-sign-sub-inv_binary64_733`
2×	`associate-/r/_binary64_713` `flip-+_binary64_741` `flip3-+_binary64_770` `difference-of-sqr-1_binary64_737`
1×	`frac-2neg_binary64_778` `cbrt-undiv_binary64_801` `sub-neg_binary64_760` `diff-log_binary64_859` `distribute-lft-out--_binary64_719` `+-commutative_binary64_697` `sum-log_binary64_858` `flip--_binary64_742` `div-exp_binary64_818` `clear-num_binary64_766` `div-inv_binary64_764` `flip3--_binary64_771`

Counts

3 → 66

Calls

3 calls:

12.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series163.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
61.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
13.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4817	1373
1	4817	1373

prune168.0ms (4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Merged error: 0.0b

Counts

76 → 2

Compiler

Compiled 2402 to 2264 computations (5.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
0.0b	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.7b	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_767`
23×	`add-sqr-sqrt_binary64_789`
19×	`add-cube-cbrt_binary64_802`
16×	`times-frac_binary64_773`
14×	`flip-+_binary64_741` `flip3-+_binary64_770`
13×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
11×	`distribute-lft-out_binary64_718` `pow1_binary64_828`
10×	`associate-/r/_binary64_713`
8×	`frac-times_binary64_777`
6×	`swap-sqr_binary64_734` `add-log-exp_binary64_806` `associate-/l*_binary64_712`
5×	`associate-/r*_binary64_711`
4×	`associate-l_binary64_708` `associate-r_binary64_707` `associate-r/_binary64_709` `associate-l/_binary64_710`
3×	`cbrt-undiv_binary64_801` `div-exp_binary64_818`
2×	`frac-2neg_binary64_778` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `difference-of-sqr--1_binary64_738` `clear-num_binary64_766` `div-inv_binary64_764`
1×	`pow2_binary64_848` `unswap-sqr_binary64_735` `pow-prod-up_binary64_837` `pow-plus_binary64_830` `*-commutative_binary64_698` `distribute-rgt-in_binary64_717` `+-commutative_binary64_697` `sum-log_binary64_858` `distribute-lft-in_binary64_716` `pow-prod-down_binary64_838` `pow-sqr_binary64_740`

Counts

4 → 116

Calls

4 calls:

16.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
11.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
11.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series328.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(+.f64 (/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))) -1)
113.0ms	(/.f64 4 (.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
47.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
31.0ms	(.f64 (+.f64 1 (exp.f64 (.f64 -2 x))) (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5026	2390

prune287.0ms (6.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	127	3	130

Merged error: 0b

Counts

130 → 3

Compiler

Compiled 4396 to 3941 computations (10.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4))
0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
0.0b	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
2.7b	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_767`
25×	`add-sqr-sqrt_binary64_789` `add-cube-cbrt_binary64_802`
24×	`unpow-prod-down_binary64_846` `times-frac_binary64_773`
11×	`add-exp-log_binary64_805`
8×	`associate-/r*_binary64_711`
7×	`distribute-lft-out_binary64_718`
6×	`sqr-pow_binary64_739` `pow1_binary64_828` `add-log-exp_binary64_806` `pow-unpow_binary64_844` `add-cbrt-cube_binary64_803`
3×	`pow-to-exp_binary64_836` `pow-exp_binary64_835` `associate-/l*_binary64_712` `div-exp_binary64_818`
2×	`pow-pow_binary64_839`
1×	`frac-2neg_binary64_778` `cbrt-undiv_binary64_801` `flip-+_binary64_741` `unpow2_binary64_832` `+-commutative_binary64_697` `sum-log_binary64_858` `flip3-+_binary64_770` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))
7.0ms	(/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4))
5.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)
5.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)

series375.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(+.f64 -1 (/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)))
124.0ms	(/.f64 16 (pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4))
52.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 4)
33.0ms	(pow.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))) 2)

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4970	2152
1	4970	2152

prune308.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

Compiler

Compiled 4645 to 4265 computations (8.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
0.0b	(*.f64 2/15 (pow.f64 x 5))
0.3b	(*.f64 1/3 (pow.f64 x 3))
18.0b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_789`
19×	`associate-r_binary64_707`
14×	`add-exp-log_binary64_805`
11×	`add-log-exp_binary64_806` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
8×	`unpow-prod-down_binary64_846` `add-cbrt-cube_binary64_803`
7×	`unswap-sqr_binary64_735`
6×	`associate-l_binary64_708` `prod-exp_binary64_816`
4×	`sqr-pow_binary64_739` `cube-prod_binary64_795` `pow1_binary64_828`
2×	`pow-to-exp_binary64_836` `cbrt-unprod_binary64_800` `pow-exp_binary64_835` `*-commutative_binary64_698` `diff-log_binary64_859` `sum-log_binary64_858`
1×	`sub-neg_binary64_760` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `cube-mult_binary64_797` `+-commutative_binary64_697` `flip3-+_binary64_770` `flip--_binary64_742` `unpow3_binary64_833` `flip3--_binary64_771` `associate--l+_binary64_704`

Counts

4 → 81

Calls

4 calls:

9.0ms	(*.f64 1/3 (pow.f64 x 3))
7.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))
4.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))

series343.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
60.0ms	(*.f64 2/15 (pow.f64 x 5))
56.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
50.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4877	1196
1	4877	1196

prune99.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

Compiler

Compiled 1649 to 1273 computations (22.8% saved)

regimes159.0ms (3.8%)

Compiler: Compiled 633 to 628 computations (0.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	82
1	68	82

end0.0ms (0%)

sample1.2s (28.6%)

Algorithm

1×

intervals

Results

463.0ms	2040×	body	1024	valid
176.0ms	4320×	body	128	valid
134.0ms	960×	body	512	valid
53.0ms	187×	body	2048	valid
44.0ms	493×	body	256	valid

Compiler

Compiled 142 to 136 computations (4.2% saved)

Details

analyze2.0ms (0%)

sample35.0ms (0.8%)

simplify241.0ms (5.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite27.0ms (0.6%)

series163.0ms (3.9%)

simplify108.0ms (2.6%)

prune168.0ms (4%)

localize12.0ms (0.3%)

rewrite57.0ms (1.3%)

series328.0ms (7.8%)

simplify73.0ms (1.7%)

prune287.0ms (6.8%)

localize17.0ms (0.4%)

rewrite46.0ms (1.1%)

series375.0ms (8.9%)

simplify55.0ms (1.3%)

prune308.0ms (7.3%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series343.0ms (8.1%)

simplify63.0ms (1.5%)

prune99.0ms (2.3%)

regimes159.0ms (3.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.6%)

Profiling