Details

analyze858.0ms (25.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5065	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5059	19

prune5.0ms (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

2.2b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

4.7b	(/.f64 (.f64 y t) (.f64 2 z))
5.2b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

rewrite86.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

20×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
16×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436` `times-frac_binary64_14406`
12×	`add-cube-cbrt_binary64_14435`
6×	`associate-/r*_binary64_14344`
5×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434`
4×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `associate-/l*_binary64_14345` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433`
2×	`pow1_binary64_14461` `add-log-exp_binary64_14439` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/r/_binary64_14346`
1×	`flip3--_binary64_14404` `flip--_binary64_14375`

Counts

2 → 58

Calls

2 calls:

7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 1350 to 683 computations (49.4% saved)

series239.0ms (7.1%)

Error

Counts

2 → 22

Calls

2 calls:

117.0ms	(/.f64 (.f64 y t) (.f64 2 z))
107.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

Compiler

Compiled 821 to 625 computations (23.9% saved)

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4999	1438
1	4999	1438

prune73.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1474 to 732 computations (50.3% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.1b	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
19.8b	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

rewrite63.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
4×	`add-log-exp_binary64_14439` `add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
3×	`prod-exp_binary64_14449` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `cbrt-unprod_binary64_14433` `times-frac_binary64_14406` `associate-/r*_binary64_14344`
2×	`pow1_binary64_14461` `flip3--_binary64_14404` `associate-/r/_binary64_14346` `flip--_binary64_14375`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/l*_binary64_14345` `diff-log_binary64_14492` `sub-neg_binary64_14393` `cancel-sign-sub-inv_binary64_14366`

Counts

2 → 37

Calls

2 calls:

10.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))
5.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))

Compiler

Compiled 1091 to 613 computations (43.8% saved)

series303.0ms (9%)

Error

Counts

2 → 31

Calls

2 calls:

164.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
120.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

Compiler

Compiled 1163 to 924 computations (20.6% saved)

simplify88.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4976	1148
1	4976	1148

prune61.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 1282 to 654 computations (49% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 -2 (/.f64 z t))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_14422`
13×	`associate-r_binary64_14340`
10×	`times-frac_binary64_14406`
9×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
6×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
3×	`pow1_binary64_14461` `associate-l_binary64_14341`
2×	`prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368`
1×	`pow-prod-down_binary64_14471` `div-exp_binary64_14451` `add-log-exp_binary64_14439` `cbrt-undiv_binary64_14434` `associate-r/_binary64_14342` `div-inv_binary64_14397` `-commutative_binary64_14331`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 -2 (/.f64 z t))

Compiler

Compiled 437 to 228 computations (47.8% saved)

series63.0ms (1.9%)

Error

Counts

1 → 6

Calls

1 calls:

60.0ms

(*.f64 -2 (/.f64 z t))

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5300	369

prune23.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Error

Counts

41 → 3

Compiler

Compiled 437 to 220 computations (49.7% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes191.0ms (5.7%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 1998 to 1622 computations (18.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	19
1	58	19

end0.0ms (0%)

sample1.0s (30%)

Algorithm

1×

intervals

Results

382.0ms

8000×

body

128

valid

Compiler

Compiled 365 to 299 computations (18.1% saved)

Details

analyze858.0ms (25.6%)

sample23.0ms (0.7%)

simplify59.0ms (1.7%)

prune5.0ms (0.1%)

localize13.0ms (0.4%)

rewrite86.0ms (2.6%)

series239.0ms (7.1%)

simplify54.0ms (1.6%)

prune73.0ms (2.2%)

localize11.0ms (0.3%)

rewrite63.0ms (1.9%)

series303.0ms (9%)

simplify88.0ms (2.6%)

prune61.0ms (1.8%)

localize5.0ms (0.2%)

rewrite31.0ms (0.9%)

series63.0ms (1.9%)

simplify81.0ms (2.4%)

prune23.0ms (0.7%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

regimes191.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (30%)

Profiling