Details

analyze842.0ms (23.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2700	70
1	2700	70
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
25%	74.9%	0.2%	7
25%	74.9%	0.2%	8
34.3%	65.5%	0.2%	9
39%	60.8%	0.2%	10
48.3%	51.5%	0.2%	11
53.7%	46.1%	0.2%	12
63.1%	36.7%	0.2%	13
64%	35.6%	0.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	126	10
1	126	10

prune3.0ms (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

4.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
4.1b	(/.f64 x (-.f64 y (*.f64 z t)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
9×	`times-frac_binary64_16793`
4×	`add-log-exp_binary64_16826` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
3×	`associate-/l_binary64_16732` `associate-/r_binary64_16731`
2×	`pow1_binary64_16848` `flip3--_binary64_16791` `associate-/r/_binary64_16733` `flip--_binary64_16762`
1×	`diff-log_binary64_16879` `cbrt-undiv_binary64_16821` `cancel-sign-sub-inv_binary64_16753` `sub-neg_binary64_16780` `div-exp_binary64_16838` `clear-num_binary64_16786` `frac-2neg_binary64_16798` `div-inv_binary64_16784`

Counts

2 → 41

Calls

2 calls:

5.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))

series80.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(/.f64 x (-.f64 y (*.f64 z t)))
27.0ms	(-.f64 y (*.f64 z t))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4965	677
1	4965	677

prune45.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Error

4.0b

Counts

48 → 8

Compiler

Compiled 695 to 194 computations (72.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.2b	(/.f64 1 (-.f64 y (*.f64 z t)))
4.1b	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_16809`
20×	`times-frac_binary64_16793` `*-un-lft-identity_binary64_16787`
19×	`add-cube-cbrt_binary64_16822`
16×	`add-exp-log_binary64_16825`
15×	`associate-r_binary64_16727`
10×	`add-cbrt-cube_binary64_16823`
6×	`pow1_binary64_16848`
5×	`add-log-exp_binary64_16826`
4×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `associate-/r/_binary64_16733`
3×	`associate-/l_binary64_16732` `flip3--_binary64_16791` `associate-l_binary64_16728` `unswap-sqr_binary64_16755` `associate-/r_binary64_16731` `flip--_binary64_16762`
2×	`cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `rec-exp_binary64_16837` `1-exp_binary64_16831` `div-inv_binary64_16784`
1×	`un-div-inv_binary64_16785` `diff-log_binary64_16879` `cancel-sign-sub-inv_binary64_16753` `sub-neg_binary64_16780` `clear-num_binary64_16786` `-commutative_binary64_16718` `associate-r/_binary64_16729` `pow-flip_binary64_16861` `inv-pow_binary64_16872` `frac-2neg_binary64_16798` `pow-prod-down_binary64_16858`

Counts

3 → 83

Calls

3 calls:

10.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
5.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
3.0ms	(-.f64 y (*.f64 z t))

series118.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(.f64 x (/.f64 1 (-.f64 y (.f64 z t))))
44.0ms	(/.f64 1 (-.f64 y (*.f64 z t)))
25.0ms	(-.f64 y (*.f64 z t))

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4927	1203
1	4927	1203

prune65.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Error

4.0b

Counts

100 → 8

Compiler

Compiled 1354 to 471 computations (65.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 y (*.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
4.1b	(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_16793`
53×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
16×	`associate-/r*_binary64_16731` `add-exp-log_binary64_16825`
10×	`add-cbrt-cube_binary64_16823`
8×	`div-exp_binary64_16838`
6×	`associate-/l*_binary64_16732` `div-inv_binary64_16784`
5×	`add-log-exp_binary64_16826`
4×	`cbrt-undiv_binary64_16821` `pow1_binary64_16848`
2×	`rec-exp_binary64_16837` `1-exp_binary64_16831` `clear-num_binary64_16786` `flip3--_binary64_16791` `associate-/l/_binary64_16734` `flip--_binary64_16762` `frac-2neg_binary64_16798`
1×	`diff-log_binary64_16879` `div-sub_binary64_16792` `cancel-sign-sub-inv_binary64_16753` `sub-neg_binary64_16780` `pow-flip_binary64_16861` `associate-/r/_binary64_16733` `inv-pow_binary64_16872`

Counts

3 → 118

Calls

3 calls:

7.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
5.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)
3.0ms	(-.f64 y (*.f64 z t))

series182.0ms (5%)

Counts

3 → 9

Calls

3 calls:

114.0ms	(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
42.0ms	(/.f64 (-.f64 y (*.f64 z t)) x)
26.0ms	(-.f64 y (*.f64 z t))

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5901	2376

prune89.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	127	8	135

Error

4.0b

Counts

135 → 8

Compiler

Compiled 2100 to 546 computations (74% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 y (.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t))))
11.3b	(cbrt.f64 (-.f64 y (*.f64 z t)))
11.3b	(cbrt.f64 (-.f64 y (*.f64 z t)))
11.3b	(cbrt.f64 (-.f64 y (*.f64 z t)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_16818`
23×	`add-sqr-sqrt_binary64_16809`
18×	`cbrt-div_binary64_16819`
15×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
11×	`pow1_binary64_16848`
9×	`flip3--_binary64_16791` `pow1/3_binary64_16869` `flip--_binary64_16762`
6×	`associate-r_binary64_16727` `swap-sqr_binary64_16754` `associate-l_binary64_16728` `add-exp-log_binary64_16825`
4×	`add-log-exp_binary64_16826` `frac-times_binary64_16797` `unswap-sqr_binary64_16755` `add-cbrt-cube_binary64_16823`
2×	`associate-r/_binary64_16729` `pow-prod-up_binary64_16857` `pow-sqr_binary64_16760` `associate-l/_binary64_16730` `pow-prod-down_binary64_16858`
1×	`pow2_binary64_16868` `cbrt-unprod_binary64_16820` `pow-plus_binary64_16850` `prod-exp_binary64_16836` `*-commutative_binary64_16718`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 y (.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t))))
3.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
2.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
2.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))

series496.0ms (13.6%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 (cbrt.f64 (-.f64 y (.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t))))
122.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
117.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))
114.0ms	(cbrt.f64 (-.f64 y (*.f64 z t)))

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4993	1878
1	4993	1878

prune95.0ms (2.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	99	8	107

Error

4.0b

Counts

107 → 8

Compiler

Compiled 3003 to 760 computations (74.7% saved)

regimes282.0ms (7.7%)

Accuracy

Total 0.1b remaining (3.1%)

Threshold costs 0.1b (3.1%)

Compiler

Compiled 2740 to 1832 computations (33.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample887.0ms (24.4%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
11.0ms	381×	body	128	invalid

Compiler

Compiled 438 to 292 computations (33.3% saved)

Details

analyze842.0ms (23.1%)

sample19.0ms (0.5%)

simplify13.0ms (0.4%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series80.0ms (2.2%)

simplify63.0ms (1.7%)

prune45.0ms (1.3%)

localize7.0ms (0.2%)

rewrite24.0ms (0.7%)

series118.0ms (3.2%)

simplify76.0ms (2.1%)

prune65.0ms (1.8%)

localize7.0ms (0.2%)

rewrite25.0ms (0.7%)

series182.0ms (5%)

simplify88.0ms (2.4%)

prune89.0ms (2.4%)

localize11.0ms (0.3%)

rewrite26.0ms (0.7%)

series496.0ms (13.6%)

simplify74.0ms (2%)

prune95.0ms (2.6%)

regimes282.0ms (7.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample887.0ms (24.4%)

Profiling