Details

analyze844.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (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

8.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(-.f64 (*.f64 y z) x)
0.7b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.7b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite171.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

8.5b

Rules

44×	`*-un-lft-identity_binary64_16787`
25×	`times-frac_binary64_16793`
24×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809`
10×	`distribute-lft-out_binary64_16738`
8×	`add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823`
7×	`associate-/l_binary64_16732` `associate-/r_binary64_16731`
6×	`cancel-sign-sub-inv_binary64_16753`
4×	`pow1_binary64_16848` `flip3--_binary64_16791` `associate-/l/_binary64_16734` `flip--_binary64_16762` `associate-/r/_binary64_16733`
3×	`div-sub_binary64_16792`
2×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `flip3-+_binary64_16790` `flip-+_binary64_16761` `diff-log_binary64_16879` `sub-neg_binary64_16780`
1×	`associate-+r-_binary64_16721`

Counts

4 → 101

Calls

4 calls:

16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
8.0ms	(-.f64 (*.f64 y z) x)
5.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 2913 to 791 computations (72.8% saved)

series1.1s (10.8%)

Error

2.0b

Counts

4 → 106

Calls

4 calls:

550.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
288.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
85.0ms	(-.f64 (*.f64 t z) x)
84.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 7306 to 4715 computations (35.5% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5074	6179

prune226.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	198	9	207
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	9	208

Error

2.0b

Counts

208 → 9

Compiler

Compiled 5934 to 1887 computations (68.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(.f64 (-.f64 (.f64 t z) x) (+.f64 x 1))
2.1b	(/.f64 x (-.f64 (*.f64 t z) x))
12.8b	(/.f64 (.f64 z y) (.f64 (-.f64 (*.f64 t z) x) (+.f64 x 1)))

rewrite162.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
17×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
15×	`add-cube-cbrt_binary64_16822`
10×	`times-frac_binary64_16793` `associate-/r/_binary64_16733`
8×	`flip3--_binary64_16791` `frac-times_binary64_16797` `flip--_binary64_16762`
6×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `flip3-+_binary64_16790` `flip-+_binary64_16761`
5×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820`
4×	`associate-l/_binary64_16730` `associate-r/_binary64_16729` `associate-/l_binary64_16732` `associate-/r_binary64_16731` `associate-r_binary64_16727`
3×	`associate-l_binary64_16728` `cancel-sign-sub-inv_binary64_16753`
2×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784`
1×	`pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `distribute-lft-out_binary64_16738` `*-commutative_binary64_16718` `diff-log_binary64_16879` `sub-neg_binary64_16780`

Counts

4 → 101

Calls

4 calls:

12.0ms	(/.f64 (.f64 z y) (.f64 (-.f64 (*.f64 t z) x) (+.f64 x 1)))
9.0ms	(.f64 (-.f64 (.f64 t z) x) (+.f64 x 1))
6.0ms	(/.f64 x (-.f64 (*.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 3823 to 1294 computations (66.2% saved)

series999.0ms (9.5%)

Error

2.0b

Counts

4 → 77

Calls

4 calls:

560.0ms	(/.f64 (.f64 z y) (.f64 (-.f64 (*.f64 t z) x) (+.f64 x 1)))
189.0ms	(.f64 (-.f64 (.f64 t z) x) (+.f64 x 1))
89.0ms	(-.f64 (*.f64 t z) x)
80.0ms	(/.f64 x (-.f64 (*.f64 t z) x))

Compiler

Compiled 7341 to 4275 computations (41.8% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4949	3250
1	4949	3250

prune199.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	179	8	187

Error

0.0b

Counts

187 → 8

Compiler

Compiled 6019 to 2043 computations (66.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
1.1b	(.f64 (/.f64 z (-.f64 (.f64 z t) x)) (/.f64 y (+.f64 x 1)))
2.1b	(/.f64 x (-.f64 (*.f64 t z) x))
7.9b	(/.f64 z (-.f64 (*.f64 z t) x))

rewrite203.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`add-sqr-sqrt_binary64_16809`
43×	`times-frac_binary64_16793`
42×	`*-un-lft-identity_binary64_16787`
36×	`add-cube-cbrt_binary64_16822`
20×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
18×	`associate-r_binary64_16727`
15×	`associate-l_binary64_16728`
8×	`associate-/r/_binary64_16733`
6×	`pow1_binary64_16848` `div-exp_binary64_16838` `add-log-exp_binary64_16826` `cbrt-undiv_binary64_16821` `associate-/l_binary64_16732` `associate-/r_binary64_16731`
4×	`div-inv_binary64_16784` `flip3--_binary64_16791` `flip--_binary64_16762` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755`
3×	`distribute-lft-out_binary64_16738` `cancel-sign-sub-inv_binary64_16753`
2×	`frac-2neg_binary64_16798` `clear-num_binary64_16786`
1×	`pow-prod-down_binary64_16858` `frac-times_binary64_16797` `associate-l/_binary64_16730` `associate-r/_binary64_16729` `flip3-+_binary64_16790` `flip-+_binary64_16761` `*-commutative_binary64_16718` `diff-log_binary64_16879` `sub-neg_binary64_16780`

Counts

4 → 129

Calls

4 calls:

18.0ms	(.f64 (/.f64 z (-.f64 (.f64 z t) x)) (/.f64 y (+.f64 x 1)))
6.0ms	(/.f64 z (-.f64 (*.f64 z t) x))
6.0ms	(/.f64 x (-.f64 (*.f64 t z) x))
4.0ms	(-.f64 (*.f64 z t) x)

Compiler

Compiled 4758 to 1575 computations (66.9% saved)

series947.0ms (9%)

Error

0.0b

Counts

4 → 84

Calls

4 calls:

539.0ms	(.f64 (/.f64 z (-.f64 (.f64 z t) x)) (/.f64 y (+.f64 x 1)))
144.0ms	(/.f64 z (-.f64 (*.f64 z t) x))
88.0ms	(-.f64 (*.f64 z t) x)
74.0ms	(/.f64 x (-.f64 (*.f64 t z) x))

Compiler

Compiled 8018 to 4919 computations (38.7% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4950	4213
1	4950	4213

prune243.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	211	2	213
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	211	10	221

Error

Counts

221 → 10

Compiler

Compiled 7449 to 2577 computations (65.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 1 (/.f64 (-.f64 (*.f64 z t) x) z))
1.1b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) z)) (/.f64 y (+.f64 x 1)))
2.1b	(/.f64 x (-.f64 (*.f64 t z) x))
7.8b	(/.f64 (-.f64 (*.f64 z t) x) z)

rewrite431.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

188×	`times-frac_binary64_16793`
138×	`add-sqr-sqrt_binary64_16809`
115×	`*-un-lft-identity_binary64_16787`
105×	`add-cube-cbrt_binary64_16822`
64×	`add-exp-log_binary64_16825`
44×	`associate-l_binary64_16728`
34×	`add-cbrt-cube_binary64_16823`
30×	`div-exp_binary64_16838`
19×	`associate-/r*_binary64_16731`
18×	`associate-r_binary64_16727`
14×	`cbrt-undiv_binary64_16821` `prod-exp_binary64_16836`
12×	`div-inv_binary64_16784`
10×	`unswap-sqr_binary64_16755`
9×	`associate-/l*_binary64_16732`
7×	`pow1_binary64_16848`
6×	`associate-/r/_binary64_16733` `1-exp_binary64_16831` `rec-exp_binary64_16837` `cbrt-unprod_binary64_16820`
4×	`add-log-exp_binary64_16826`
3×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `distribute-lft-out_binary64_16738`
2×	`flip3--_binary64_16791` `associate-/l/_binary64_16734` `flip--_binary64_16762`
1×	`div-sub_binary64_16792` `pow-prod-down_binary64_16858` `frac-times_binary64_16797` `associate-l/_binary64_16730` `associate-r/_binary64_16729` `flip3-+_binary64_16790` `flip-+_binary64_16761` `*-commutative_binary64_16718` `inv-pow_binary64_16872` `pow-flip_binary64_16861`

Counts

4 → 239

Calls

4 calls:

30.0ms	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) z)) (/.f64 y (+.f64 x 1)))
10.0ms	(/.f64 (-.f64 (*.f64 z t) x) z)
8.0ms	(/.f64 1 (/.f64 (-.f64 (*.f64 z t) x) z))
6.0ms	(/.f64 x (-.f64 (*.f64 t z) x))

Compiler

Compiled 9753 to 3612 computations (63% saved)

series1.0s (9.6%)

Error

Counts

4 → 84

Calls

4 calls:

552.0ms	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) z)) (/.f64 y (+.f64 x 1)))
141.0ms	(/.f64 (-.f64 (*.f64 z t) x) z)
141.0ms	(/.f64 1 (/.f64 (-.f64 (*.f64 z t) x) z))
73.0ms	(/.f64 x (-.f64 (*.f64 t z) x))

Compiler

Compiled 8084 to 5088 computations (37.1% saved)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

323 → 323

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4953	7070
1	4953	7070

prune423.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	324	9	333

Error

Counts

333 → 9

Compiler

Compiled 11801 to 4104 computations (65.2% saved)

regimes818.0ms (7.7%)

Accuracy

Total 0.1b remaining (97.2%)

Threshold costs 0.1b (97.2%)

Compiler

Compiled 12119 to 7566 computations (37.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	40
1	50	40

end0.0ms (0%)

sample2.2s (20.5%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	128	valid
13.0ms	324×	body	128	invalid

Compiler

Compiled 2456 to 1538 computations (37.4% saved)

Details

analyze844.0ms (8%)

sample22.0ms (0.2%)

simplify64.0ms (0.6%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite171.0ms (1.6%)

series1.1s (10.8%)

simplify85.0ms (0.8%)

prune226.0ms (2.1%)

localize13.0ms (0.1%)

rewrite162.0ms (1.5%)

series999.0ms (9.5%)

simplify114.0ms (1.1%)

prune199.0ms (1.9%)

localize16.0ms (0.1%)

rewrite203.0ms (1.9%)

series947.0ms (9%)

simplify92.0ms (0.9%)

prune243.0ms (2.3%)

localize16.0ms (0.2%)

rewrite431.0ms (4.1%)

series1.0s (9.6%)

simplify131.0ms (1.2%)

prune423.0ms (4%)

regimes818.0ms (7.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (20.5%)

Profiling