Details

analyze868.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4852	91
1	4852	91
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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample30.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify348.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (339.0ms)

Iter	Nodes	Cost
0	5580	13

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

12.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.6b

(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite54.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
6×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
5×	`times-frac_binary64_15429` `associate-/r*_binary64_15367`
3×	`add-cube-cbrt_binary64_15458`
2×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375` `flip3--_binary64_15427` `associate-*r/_binary64_15365` `associate-/l/_binary64_15370` `flip--_binary64_15398` `associate-/r/_binary64_15369`
1×	`pow1_binary64_15484` `prod-exp_binary64_15472` `add-log-exp_binary64_15462` `cbrt-unprod_binary64_15456` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `associate-/l*_binary64_15368`

Counts

1 → 29

Calls

1 calls:

10.0ms

(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

Compiler

Compiled 486 to 125 computations (74.3% saved)

series342.0ms (5.1%)

Error

5.0b

Counts

1 → 29

Calls

1 calls:

309.0ms

(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

Compiler

Compiled 1601 to 940 computations (41.3% saved)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5670	1285

prune60.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Error

0.0b

Counts

59 → 6

Compiler

Compiled 1049 to 257 computations (75.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.4b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite210.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_15429`
194×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
90×	`add-cube-cbrt_binary64_15458`
52×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
36×	`associate-/r*_binary64_15367`
11×	`associate-/r/_binary64_15369`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
8×	`associate-/l*_binary64_15368`
6×	`div-inv_binary64_15420` `flip3--_binary64_15427` `flip--_binary64_15398`
4×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
2×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-/l/_binary64_15370`
1×	`div-sub_binary64_15428`

Counts

2 → 194

Calls

2 calls:

13.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
9.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

Compiler

Compiled 4149 to 810 computations (80.5% saved)

series583.0ms (8.8%)

Error

0.0b

Counts

2 → 50

Calls

2 calls:

323.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
208.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

Compiler

Compiled 2553 to 1568 computations (38.6% saved)

simplify132.0ms (2%)

Algorithm

1×	egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5240	6196

prune197.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	244	6	250

Error

Counts

250 → 6

Compiler

Compiled 4813 to 736 computations (84.7% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.6b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite105.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64_15445`
70×	`*-un-lft-identity_binary64_15423`
51×	`times-frac_binary64_15429`
31×	`associate-r_binary64_15363`
26×	`add-cube-cbrt_binary64_15458`
22×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
5×	`associate-/l_binary64_15368` `associate-/r_binary64_15367`
4×	`pow1_binary64_15484` `associate-/r/_binary64_15369`
3×	`associate-l_binary64_15364` `flip3--_binary64_15427` `flip--_binary64_15398`
2×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `add-log-exp_binary64_15462` `cbrt-unprod_binary64_15456` `cbrt-undiv_binary64_15457` `unswap-sqr_binary64_15391` `div-inv_binary64_15420` `associate-/l/_binary64_15370`
1×	`pow-prod-down_binary64_15494` `associate-r/_binary64_15365` `-commutative_binary64_15354` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422`

Counts

2 → 102

Calls

2 calls:

18.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
9.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 1903 to 398 computations (79.1% saved)

series559.0ms (8.4%)

Error

Counts

2 → 55

Calls

2 calls:

308.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
197.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 2875 to 1776 computations (38.2% saved)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4966	3190
1	4966	3190

prune150.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	157	6	163

Error

Counts

163 → 6

Compiler

Compiled 2809 to 597 computations (78.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 t z))
8.1b	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite88.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_15445`
40×	`*-un-lft-identity_binary64_15423`
31×	`times-frac_binary64_15429`
24×	`add-cube-cbrt_binary64_15458`
21×	`associate-l_binary64_15364`
9×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
8×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
6×	`cancel-sign-sub-inv_binary64_15389`
5×	`associate-r_binary64_15363` `associate-/r*_binary64_15367`
4×	`pow1_binary64_15484` `flip3--_binary64_15427` `flip--_binary64_15398` `distribute-rgt-in_binary64_15373` `distribute-lft-in_binary64_15372` `associate-/r/_binary64_15369`
3×	`associate-/l*_binary64_15368`
2×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `add-log-exp_binary64_15462` `cbrt-unprod_binary64_15456` `cbrt-undiv_binary64_15457` `frac-times_binary64_15433` `unswap-sqr_binary64_15391` `sub-neg_binary64_15416` `associate-*r/_binary64_15365` `div-inv_binary64_15420`
1×	`pow-prod-down_binary64_15494` `associate-l/_binary64_15366` `-commutative_binary64_15354` `frac-2neg_binary64_15434` `clear-num_binary64_15422`

Counts

2 → 91

Calls

2 calls:

14.0ms	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
5.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 1610 to 351 computations (78.2% saved)

series549.0ms (8.2%)

Error

Counts

2 → 50

Calls

2 calls:

375.0ms	(*.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
122.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 2402 to 1446 computations (39.8% saved)

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4967	2600
1	4967	2600

prune116.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	141	6	147

Error

Counts

147 → 6

Compiler

Compiled 2343 to 452 computations (80.7% saved)

regimes443.0ms (6.7%)

Accuracy

Total 2.1b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 3834 to 2775 computations (27.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample1.6s (23.4%)

Algorithm

1×

intervals

Results

328.0ms	8000×	body	128	valid
23.0ms	614×	body	128	invalid

Compiler

Compiled 763 to 559 computations (26.7% saved)

Details

analyze868.0ms (13%)

sample30.0ms (0.5%)

simplify348.0ms (5.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite54.0ms (0.8%)

series342.0ms (5.1%)

simplify62.0ms (0.9%)

prune60.0ms (0.9%)

localize6.0ms (0.1%)

rewrite210.0ms (3.2%)

series583.0ms (8.8%)

simplify132.0ms (2%)

prune197.0ms (2.9%)

localize11.0ms (0.2%)

rewrite105.0ms (1.6%)

series559.0ms (8.4%)

simplify97.0ms (1.5%)

prune150.0ms (2.3%)

localize7.0ms (0.1%)

rewrite88.0ms (1.3%)

series549.0ms (8.2%)

simplify76.0ms (1.1%)

prune116.0ms (1.7%)

regimes443.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (23.4%)

Profiling