Details

analyze644.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5348	82
0	2	2
1	2	2

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%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample117.0ms (0.5%)

Algorithm

1×

intervals

Results

48.0ms	66×	body	1024	valid
22.0ms	139×	body	128	valid
12.0ms	28×	body	512	valid
9.0ms	8×	body	2048	valid
4.0ms	15×	body	256	valid
1.0ms	6×	body	128	overflowed
1.0ms	1×	body	1024	invalid
1.0ms	5×	body	128	invalid

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5212	41

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

29.4b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
2.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite1.2s (5.7%)

Algorithm

1×	rewrite-expression-head

Error

28.7b

Rules

81×	`frac-sub_binary64_769` `exp-neg_binary64_807`
80×	`frac-times_binary64_770`
61×	`neg-sub0_binary64_755` `exp-diff_binary64_808`
40×	`associate-l/_binary64_703` `associate-r/_binary64_702`
31×	`flip3--_binary64_764` `flip--_binary64_735`
30×	`flip3-+_binary64_763` `flip-+_binary64_734`
28×	`add-sqr-sqrt_binary64_782`
21×	`*-un-lft-identity_binary64_760`
20×	`un-div-inv_binary64_758`
19×	`associate-l_binary64_701`
9×	`add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799` `pow1_binary64_821` `add-cbrt-cube_binary64_796`
6×	`add-exp-log_binary64_798` `associate-r_binary64_700` `times-frac_binary64_766` `difference-of-squares_binary64_729` `exp-prod_binary64_812`
3×	`difference-of-sqr-1_binary64_730`
2×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `div-inv_binary64_757` `*-commutative_binary64_691` `distribute-lft-out--_binary64_712` `rem-exp-log_binary64_800`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `neg-mul-1_binary64_756` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `neg-log_binary64_853`

Counts

4 → 177

Calls

4 calls:

38.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
29.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
23.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
7.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 10373 to 8383 computations (19.2% saved)

series1.1s (5%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

374.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
248.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
215.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
118.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))

Compiler

Compiled 3996 to 2698 computations (32.5% saved)

simplify228.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5536	10431

prune986.0ms (4.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	220	4	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	221	4	225

Error

0.0b

Counts

225 → 4

Compiler

Compiled 9960 to 6794 computations (31.8% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
5.0b	(.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 1/3 (exp.f64 x)))
13.8b	(.f64 (.f64 eps eps) (pow.f64 x 3))
15.5b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite525.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

72×	`add-exp-log_binary64_798`
50×	`prod-exp_binary64_809`
44×	`add-cbrt-cube_binary64_796`
36×	`pow1_binary64_821`
29×	`associate-r_binary64_700`
24×	`cbrt-unprod_binary64_793`
21×	`add-sqr-sqrt_binary64_782`
16×	`pow-prod-down_binary64_831` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
7×	`div-exp_binary64_811`
6×	`unswap-sqr_binary64_728` `associate-l_binary64_701` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
4×	`pow-prod-up_binary64_830` `pow-plus_binary64_823` `add-log-exp_binary64_799` `*-commutative_binary64_691` `unpow-prod-down_binary64_839` `cube-prod_binary64_788` `frac-times_binary64_770`
3×	`cbrt-undiv_binary64_794` `associate-*r/_binary64_702` `flip3-+_binary64_763` `neg-sub0_binary64_755` `exp-diff_binary64_808` `flip-+_binary64_734` `exp-neg_binary64_807`
2×	`pow2_binary64_841` `pow-sqr_binary64_733` `sqr-pow_binary64_732` `associate-*l/_binary64_703`
1×	`unpow3_binary64_826` `cube-mult_binary64_790` `div-inv_binary64_757` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`

Counts

4 → 134

Calls

4 calls:

25.0ms	(.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 1/3 (exp.f64 x)))
19.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
18.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
17.0ms	(.f64 (.f64 eps eps) (pow.f64 x 3))

Compiler

Compiled 5814 to 2736 computations (52.9% saved)

series1.0s (4.6%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

308.0ms	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 (.f64 x x) (.f64 eps eps))))
279.0ms	(.f64 (.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 1/3 (exp.f64 x)))
186.0ms	(.f64 (.f64 eps eps) (pow.f64 x 3))
143.0ms	(.f64 (.f64 x x) (*.f64 eps eps))

Compiler

Compiled 3086 to 2127 computations (31.1% saved)

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5065	2509

prune471.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	166	4	170

Error

0.0b

Counts

170 → 4

Compiler

Compiled 6386 to 3141 computations (50.8% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
6.6b	(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 2 (.f64 (pow.f64 x 3) 2/3))) (+.f64 (.f64 x x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 2/3))))
13.8b	(.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3))
15.5b	(.f64 (.f64 x x) (*.f64 eps eps))

rewrite484.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

45×	`add-exp-log_binary64_798`
37×	`pow1_binary64_821`
30×	`add-cbrt-cube_binary64_796`
29×	`prod-exp_binary64_809`
25×	`add-log-exp_binary64_799`
18×	`add-sqr-sqrt_binary64_782`
17×	`pow-prod-down_binary64_831` `cbrt-unprod_binary64_793`
14×	`associate-l_binary64_701`
11×	`*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795` `sum-log_binary64_851`
6×	`diff-log_binary64_852`
5×	`unswap-sqr_binary64_728` `associate-r_binary64_700`
4×	`pow-prod-up_binary64_830` `pow-plus_binary64_823` `flip3-+_binary64_763` `frac-sub_binary64_769` `flip-+_binary64_734` `unpow-prod-down_binary64_839` `cube-prod_binary64_788`
3×	`*-commutative_binary64_691` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `cancel-sign-sub-inv_binary64_726`
2×	`pow2_binary64_841` `pow-sqr_binary64_733` `sqr-pow_binary64_732`
1×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697` `associate--r+_binary64_696` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 111

Calls

4 calls:

38.0ms	(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 2 (.f64 (pow.f64 x 3) 2/3))) (+.f64 (.f64 x x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 2/3))))
21.0ms	(.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3))
17.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
12.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 4951 to 2639 computations (46.7% saved)

series1.1s (4.9%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

616.0ms	(-.f64 (+.f64 (.f64 (.f64 x x) (.f64 eps eps)) (+.f64 2 (.f64 (pow.f64 x 3) 2/3))) (+.f64 (.f64 x x) (.f64 (.f64 eps eps) (.f64 (pow.f64 x 3) 2/3))))
191.0ms	(.f64 (.f64 eps eps) (*.f64 (pow.f64 x 3) 2/3))
139.0ms	(.f64 (.f64 x x) (*.f64 eps eps))
52.0ms	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 2247 to 1721 computations (23.4% saved)

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5328	3256

prune384.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	141	4	145

Error

0.0b

Counts

145 → 4

Compiler

Compiled 5114 to 2850 computations (44.3% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)))
2.4b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite680.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_782`
26×	`associate-*l/_binary64_703`
22×	`*-un-lft-identity_binary64_760`
19×	`associate-l_binary64_701`
18×	`frac-sub_binary64_769`
13×	`exp-neg_binary64_807`
12×	`frac-times_binary64_770`
10×	`add-cube-cbrt_binary64_795` `neg-sub0_binary64_755` `exp-diff_binary64_808` `flip3--_binary64_764` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734` `associate-r_binary64_700`
9×	`add-exp-log_binary64_798`
8×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
6×	`pow1_binary64_821` `associate-*r/_binary64_702` `times-frac_binary64_766` `difference-of-squares_binary64_729` `exp-prod_binary64_812`
4×	`prod-exp_binary64_809` `unpow-prod-down_binary64_839` `unswap-sqr_binary64_728`
3×	`un-div-inv_binary64_758` `difference-of-sqr-1_binary64_730`
2×	`cbrt-unprod_binary64_793` `sqr-pow_binary64_732` `distribute-lft-out_binary64_711` `div-inv_binary64_757` `*-commutative_binary64_691` `distribute-lft-out--_binary64_712` `rem-exp-log_binary64_800`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `pow-prod-down_binary64_831` `neg-mul-1_binary64_756` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717` `neg-log_binary64_853`

Counts

4 → 114

Calls

4 calls:

32.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
31.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
25.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)))
6.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

Compiler

Compiled 5522 to 4481 computations (18.9% saved)

series1.6s (7.2%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

618.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
441.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 -1) (.f64 (-.f64 1 eps) x)))
233.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
117.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))

Compiler

Compiled 4855 to 3691 computations (24% saved)

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5078	5216

prune595.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	160	4	164

Error

0.0b

Counts

164 → 4

Compiler

Compiled 6266 to 4541 computations (27.5% saved)

regimes1.5s (7.1%)

Accuracy

Total 0.6b remaining (97.7%)

Threshold costs 0.6b (97.7%)

Compiler

Compiled 13848 to 11624 computations (16.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	24
1	21	24

end0.0ms (0%)

sample8.3s (38.5%)

Algorithm

1×

intervals

Results

1.5s	1981×	body	1024	valid
603.0ms	4329×	body	128	valid
445.0ms	997×	body	512	valid
237.0ms	192×	body	2048	valid
139.0ms	501×	body	256	valid
31.0ms	207×	body	128	overflowed
30.0ms	205×	body	128	invalid
13.0ms	18×	body	1024	invalid
5.0ms	10×	body	512	invalid
2.0ms	5×	body	256	invalid

Compiler

Compiled 3434 to 2881 computations (16.1% saved)

Details

analyze644.0ms (3%)

sample117.0ms (0.5%)

simplify123.0ms (0.6%)

prune8.0ms (0%)

localize33.0ms (0.2%)

rewrite1.2s (5.7%)

series1.1s (5%)

simplify228.0ms (1.1%)

prune986.0ms (4.6%)

localize46.0ms (0.2%)

rewrite525.0ms (2.4%)

series1.0s (4.6%)

simplify154.0ms (0.7%)

prune471.0ms (2.2%)

localize29.0ms (0.1%)

rewrite484.0ms (2.2%)

series1.1s (4.9%)

simplify113.0ms (0.5%)

prune384.0ms (1.8%)

localize38.0ms (0.2%)

rewrite680.0ms (3.2%)

series1.6s (7.2%)

simplify163.0ms (0.8%)

prune595.0ms (2.8%)

regimes1.5s (7.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.3s (38.5%)

Profiling