Details

analyze104.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	68×	body	512	valid
4.0ms	148×	body	128	valid
1.0ms	30×	body	256	valid
1.0ms	10×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms (0.1%)

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

14.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite75.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

13.9b

Rules

37×	`*-un-lft-identity_binary64_78`
36×	`add-sqr-sqrt_binary64_100`
33×	`times-frac_binary64_84`
13×	`cancel-sign-sub-inv_binary64_44`
12×	`add-cube-cbrt_binary64_113`
10×	`distribute-lft-out--_binary64_30`
9×	`difference-of-squares_binary64_47`
5×	`div-inv_binary64_75`
3×	`add-log-exp_binary64_117` `distribute-lft-out_binary64_29`
1×	`diff-log_binary64_170` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `frac-sub_binary64_87` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53`

Counts

1 → 44

Calls

1 calls:

19.0ms

(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 824 to 658 computations (20.1% saved)

series45.0ms (1.6%)

Error

0.5b

Counts

1 → 10

Calls

1 calls:

33.0ms

(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 247 to 213 computations (13.8% saved)

simplify102.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4848	899
1	4848	899

prune49.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

0.4b

Counts

55 → 2

Compiler

Compiled 779 to 605 computations (22.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.4b	(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite50.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64_78`
15×	`times-frac_binary64_84`
12×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
5×	`distribute-rgt1-in_binary64_34` `distribute-rgt-out_binary64_31` `associate-/r*_binary64_22`
4×	`add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`associate-/l*_binary64_23`
2×	`pow1_binary64_139` `flip3-+_binary64_81` `associate-/r/_binary64_24` `flip-+_binary64_52`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

2 → 50

Calls

2 calls:

5.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 723 to 310 computations (57.1% saved)

series76.0ms (2.7%)

Error

0.4b

Counts

2 → 16

Calls

2 calls:

36.0ms	(+.f64 x (*.f64 x x))
29.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))

Compiler

Compiled 336 to 287 computations (14.6% saved)

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5053	940

prune57.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	62	6	68

Error

0.0b

Counts

68 → 6

Compiler

Compiled 901 to 469 computations (47.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite93.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

97×	`times-frac_binary64_84`
78×	`*-un-lft-identity_binary64_78`
50×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
14×	`distribute-lft-out_binary64_29`
13×	`associate-/l*_binary64_23`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75`
4×	`associate-/r*_binary64_22`
3×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`associate-/r/_binary64_24`
1×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

1 → 86

Calls

1 calls:

8.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

Compiler

Compiled 1516 to 1131 computations (25.4% saved)

series35.0ms (1.3%)

Error

0.0b

Counts

1 → 10

Calls

1 calls:

28.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

Compiler

Compiled 247 to 213 computations (13.8% saved)

simplify85.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4907	1978
1	4907	1978

prune85.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	96	6	102

Error

Counts

102 → 6

Compiler

Compiled 1566 to 1116 computations (28.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(/.f64 1 (*.f64 x (-.f64 -1 x)))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-exp-log_binary64_116`
6×	`add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `div-exp_binary64_129`
3×	`prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `times-frac_binary64_84` `-un-lft-identity_binary64_78` `associate-/l_binary64_23`
2×	`pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `associate-*r/_binary64_20` `associate-/r/_binary64_24`
1×	`inv-pow_binary64_163` `pow-prod-down_binary64_149` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `flip3--_binary64_82` `flip--_binary64_53` `associate-/r*_binary64_22`

Counts

1 → 30

Calls

1 calls:

6.0ms

(/.f64 1 (*.f64 x (-.f64 -1 x)))

Compiler

Compiled 371 to 285 computations (23.2% saved)

series39.0ms (1.4%)

Error

Counts

1 → 10

Calls

1 calls:

31.0ms

(/.f64 1 (*.f64 x (-.f64 -1 x)))

Compiler

Compiled 247 to 213 computations (13.8% saved)

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5508	486

prune28.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Error

Counts

46 → 6

Compiler

Compiled 419 to 310 computations (26% saved)

regimes185.0ms (6.7%)

Accuracy

Total 0.1b remaining (91.4%)

Threshold costs 0.1b (91.4%)

Compiler

Compiled 1975 to 1502 computations (23.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample1.5s (52.9%)

Algorithm

1×

intervals

Results

155.0ms	1979×	body	512	valid
117.0ms	4579×	body	128	valid
50.0ms	1014×	body	256	valid
44.0ms	428×	body	1024	valid

Compiler

Compiled 950 to 720 computations (24.2% saved)

Details

analyze104.0ms (3.8%)

sample19.0ms (0.7%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite75.0ms (2.7%)

series45.0ms (1.6%)

simplify102.0ms (3.7%)

prune49.0ms (1.8%)

localize4.0ms (0.2%)

rewrite50.0ms (1.8%)

series76.0ms (2.7%)

simplify57.0ms (2.1%)

prune57.0ms (2.1%)

localize5.0ms (0.2%)

rewrite93.0ms (3.4%)

series35.0ms (1.3%)

simplify85.0ms (3.1%)

prune85.0ms (3.1%)

localize4.0ms (0.2%)

rewrite28.0ms (1%)

series39.0ms (1.4%)

simplify54.0ms (2%)

prune28.0ms (1%)

regimes185.0ms (6.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (52.9%)

Profiling