Details

analyze203.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5074	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
3.0ms	131×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify137.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	5723	9

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (exp.f64 (.f64 y y)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

5×	`add-sqr-sqrt_binary64_17832`
3×	`pow1_binary64_17871` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845` `-un-lft-identity_binary64_17810` `associate-l_binary64_17751` `associate-r*_binary64_17750`
2×	`add-exp-log_binary64_17848`
1×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `add-log-exp_binary64_17849` `cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `*-commutative_binary64_17741`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

Compiler

Compiled 221 to 54 computations (75.6% saved)

series72.0ms (1.7%)

Error

0.2b

Counts

1 → 9

Calls

1 calls:

63.0ms

(*.f64 x (exp.f64 (*.f64 y y)))

Compiler

Compiled 182 to 150 computations (17.6% saved)

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4984	312
1	4984	312

prune22.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.2b

Counts

28 → 3

Compiler

Compiled 296 to 93 computations (68.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 6)))
0.0b	(.f64 x (+.f64 (.f64 y y) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 6))))))
0.0b	(+.f64 (.f64 y y) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 6)))))
0.1b	(*.f64 1/6 (pow.f64 y 6))

rewrite156.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

16×	`add-sqr-sqrt_binary64_17832`
15×	`add-log-exp_binary64_17849`
11×	`add-exp-log_binary64_17848`
10×	`associate-r_binary64_17750`
9×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
8×	`add-cbrt-cube_binary64_17846`
7×	`sum-log_binary64_17901`
6×	`pow1_binary64_17871` `associate-l_binary64_17751`
4×	`prod-exp_binary64_17859` `unpow-prod-down_binary64_17889` `unswap-sqr_binary64_17778`
3×	`flip3-+_binary64_17813` `flip-+_binary64_17784`
2×	`cbrt-unprod_binary64_17843` `sqr-pow_binary64_17782` `-commutative_binary64_17741` `+-commutative_binary64_17740` `associate-r/_binary64_17752`
1×	`pow-to-exp_binary64_17879` `pow-exp_binary64_17878` `associate-+r+_binary64_17742` `pow-prod-down_binary64_17881` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 x (+.f64 (.f64 y y) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 6))))))
11.0ms	(+.f64 (.f64 y y) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 6)))))
7.0ms	(*.f64 1/6 (pow.f64 y 6))
6.0ms	(+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 6)))

Compiler

Compiled 2232 to 1607 computations (28% saved)

series445.0ms (10.3%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

202.0ms	(.f64 x (+.f64 (.f64 y y) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 6))))))
93.0ms	(+.f64 (.f64 1/2 (pow.f64 y 4)) (.f64 1/6 (pow.f64 y 6)))
72.0ms	(+.f64 (.f64 y y) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 6)))))
45.0ms	(*.f64 1/6 (pow.f64 y 6))

Compiler

Compiled 1255 to 1009 computations (19.6% saved)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5586	2233

prune143.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	107	4	111

Error

0.2b

Counts

111 → 4

Compiler

Compiled 2557 to 1826 computations (28.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 1 (.f64 y y)) (.f64 1/2 (pow.f64 y 4)))
0.0b	(.f64 x (cbrt.f64 (pow.f64 (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (+.f64 1 (.f64 y y)) (.f64 1/2 (pow.f64 y 4)))) 3)))
0.0b	(pow.f64 (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (+.f64 1 (.f64 y y)) (*.f64 1/2 (pow.f64 y 4)))) 3)
0.1b	(*.f64 1/6 (pow.f64 y 6))

rewrite259.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

29×	`add-sqr-sqrt_binary64_17832`
22×	`associate-r_binary64_17750`
16×	`cbrt-prod_binary64_17841`
15×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
12×	`add-exp-log_binary64_17848`
11×	`unpow-prod-down_binary64_17889`
9×	`add-log-exp_binary64_17849`
8×	`add-cbrt-cube_binary64_17846` `unswap-sqr_binary64_17778`
7×	`pow1_binary64_17871` `cube-prod_binary64_17838`
6×	`associate-l_binary64_17751`
5×	`sqr-pow_binary64_17782`
4×	`prod-exp_binary64_17859` `cube-div_binary64_17839`
3×	`pow-unpow_binary64_17887` `flip3-+_binary64_17813` `flip-+_binary64_17784` `sum-log_binary64_17901`
2×	`pow-to-exp_binary64_17879` `pow-exp_binary64_17878` `cbrt-unprod_binary64_17843` `-commutative_binary64_17741` `unpow3_binary64_17876` `cube-mult_binary64_17840` `cbrt-div_binary64_17842` `associate-r/_binary64_17752`
1×	`pow-pow_binary64_17882` `rem-cube-cbrt_binary64_17833` `pow-prod-down_binary64_17881` `associate-+l+_binary64_17743` `+-commutative_binary64_17740`

Counts

4 → 99

Calls

4 calls:

15.0ms	(.f64 x (cbrt.f64 (pow.f64 (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (+.f64 1 (.f64 y y)) (.f64 1/2 (pow.f64 y 4)))) 3)))
9.0ms	(pow.f64 (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (+.f64 1 (.f64 y y)) (*.f64 1/2 (pow.f64 y 4)))) 3)
8.0ms	(*.f64 1/6 (pow.f64 y 6))
6.0ms	(+.f64 (+.f64 1 (.f64 y y)) (.f64 1/2 (pow.f64 y 4)))

Compiler

Compiled 3734 to 2777 computations (25.6% saved)

series426.0ms (9.9%)

Error

0.2b

Counts

4 → 33

Calls

4 calls:

215.0ms	(.f64 x (cbrt.f64 (pow.f64 (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (+.f64 1 (.f64 y y)) (.f64 1/2 (pow.f64 y 4)))) 3)))
100.0ms	(+.f64 (+.f64 1 (.f64 y y)) (.f64 1/2 (pow.f64 y 4)))
44.0ms	(*.f64 1/6 (pow.f64 y 6))
37.0ms	(pow.f64 (+.f64 (.f64 1/6 (pow.f64 y 6)) (+.f64 (+.f64 1 (.f64 y y)) (*.f64 1/2 (pow.f64 y 4)))) 3)

Compiler

Compiled 1287 to 1078 computations (16.2% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5030	3137

prune220.0ms (5.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Error

0.2b

Counts

136 → 4

Compiler

Compiled 3768 to 2752 computations (27% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 1/6 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 6))
0.1b	(*.f64 1/6 (pow.f64 y 4))
0.6b	(cbrt.f64 y)
0.6b	(pow.f64 (cbrt.f64 y) 6)

rewrite168.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

36×	`add-exp-log_binary64_17848`
24×	`prod-exp_binary64_17859`
19×	`add-sqr-sqrt_binary64_17832`
17×	`associate-r_binary64_17750`
16×	`unpow-prod-down_binary64_17889`
14×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
11×	`add-cbrt-cube_binary64_17846`
9×	`cbrt-prod_binary64_17841` `pow-to-exp_binary64_17879` `pow-exp_binary64_17878`
5×	`pow1_binary64_17871`
4×	`add-log-exp_binary64_17849` `sqr-pow_binary64_17782` `cbrt-unprod_binary64_17843` `associate-l_binary64_17751`
3×	`pow-unpow_binary64_17887` `unswap-sqr_binary64_17778`
2×	`pow1/3_binary64_17892` `pow-pow_binary64_17882` `*-commutative_binary64_17741`

Counts

4 → 90

Calls

4 calls:

9.0ms	(.f64 (.f64 1/6 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 6))
6.0ms	(*.f64 1/6 (pow.f64 y 4))
3.0ms	(pow.f64 (cbrt.f64 y) 6)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2710 to 1840 computations (32.1% saved)

series320.0ms (7.4%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

116.0ms	(pow.f64 (cbrt.f64 y) 6)
82.0ms	(cbrt.f64 y)
70.0ms	(.f64 (.f64 1/6 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 6))
37.0ms	(*.f64 1/6 (pow.f64 y 4))

Compiler

Compiled 864 to 694 computations (19.7% saved)

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5179	758

prune132.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	102	4	106

Error

0.2b

Counts

106 → 4

Compiler

Compiled 2587 to 1765 computations (31.8% saved)

regimes184.0ms (4.3%)

Accuracy

Total 0.4b remaining (94.8%)

Threshold costs 0.4b (94.8%)

Compiler

Compiled 1937 to 1552 computations (19.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	34
1	27	34

end0.0ms (0%)

sample1.0s (24.2%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
97.0ms	4218×	body	128	invalid

Compiler

Compiled 400 to 322 computations (19.5% saved)

Details

analyze203.0ms (4.7%)

sample21.0ms (0.5%)

simplify137.0ms (3.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite16.0ms (0.4%)

series72.0ms (1.7%)

simplify70.0ms (1.6%)

prune22.0ms (0.5%)

localize12.0ms (0.3%)

rewrite156.0ms (3.6%)

series445.0ms (10.3%)

simplify68.0ms (1.6%)

prune143.0ms (3.3%)

localize14.0ms (0.3%)

rewrite259.0ms (6%)

series426.0ms (9.9%)

simplify82.0ms (1.9%)

prune220.0ms (5.1%)

localize14.0ms (0.3%)

rewrite168.0ms (3.9%)

series320.0ms (7.4%)

simplify77.0ms (1.8%)

prune132.0ms (3.1%)

regimes184.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (24.2%)

Profiling