Details

analyze1.9s (15.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5034	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
9.0ms	137×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4954	31
1	4954	31

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (-.f64 y 1) z))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))

rewrite277.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`associate-*l/_binary64_362`
19×	`flip3--_binary64_423` `flip--_binary64_394`
18×	`add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419`
15×	`add-log-exp_binary64_458`
13×	`associate-l_binary64_360`
12×	`frac-add_binary64_427`
8×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `frac-sub_binary64_428`
6×	`associate-r_binary64_359`
4×	`diff-log_binary64_511` `associate-+l+_binary64_352`
3×	`sum-log_binary64_510` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
2×	`associate--l+_binary64_356` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `associate-+l-_binary64_354` `+-commutative_binary64_349` `difference-of-sqr-1_binary64_389` `distribute-lft-out_binary64_370`

Counts

4 → 89

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
7.0ms	(*.f64 (-.f64 y 1) z)
3.0ms	(-.f64 x (*.f64 (-.f64 y 1) z))

Compiler

Compiled 3814 to 2279 computations (40.2% saved)

series1.1s (9%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

659.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
144.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
131.0ms	(-.f64 x (*.f64 (-.f64 y 1) z))
114.0ms	(*.f64 (-.f64 y 1) z)

Compiler

Compiled 3926 to 2697 computations (31.3% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4935	4494
1	4935	4494

prune250.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	3	168

Error

0.0b

Counts

168 → 3

Compiler

Compiled 4901 to 2051 computations (58.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 b 2) (.f64 y z))
0.0b	(+.f64 (*.f64 b y) (+.f64 a (+.f64 z x)))
0.0b	(-.f64 (+.f64 (.f64 b y) (+.f64 a (+.f64 z x))) (+.f64 (.f64 b 2) (*.f64 y z)))

rewrite89.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

46×	`add-log-exp_binary64_458`
23×	`sum-log_binary64_510`
8×	`diff-log_binary64_511`
6×	`add-sqr-sqrt_binary64_441` `flip3-+_binary64_422` `flip-+_binary64_393` `*-un-lft-identity_binary64_419`
4×	`add-cube-cbrt_binary64_454` `frac-sub_binary64_428`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385`
2×	`+-commutative_binary64_349`
1×	`flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `associate--l+_binary64_356` `associate--r+_binary64_355` `associate-+r+_binary64_351`

Counts

3 → 54

Calls

3 calls:

15.0ms	(-.f64 (+.f64 (.f64 b y) (+.f64 a (+.f64 z x))) (+.f64 (.f64 b 2) (*.f64 y z)))
9.0ms	(+.f64 (*.f64 b y) (+.f64 a (+.f64 z x)))
4.0ms	(+.f64 (.f64 b 2) (.f64 y z))

Compiler

Compiled 1786 to 542 computations (69.7% saved)

series760.0ms (6.1%)

Error

0.0b

Counts

3 → 78

Calls

3 calls:

372.0ms	(-.f64 (+.f64 (.f64 b y) (+.f64 a (+.f64 z x))) (+.f64 (.f64 b 2) (*.f64 y z)))
196.0ms	(+.f64 (*.f64 b y) (+.f64 a (+.f64 z x)))
133.0ms	(+.f64 (.f64 b 2) (.f64 y z))

Compiler

Compiled 2759 to 1897 computations (31.2% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5444	2467

prune129.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Error

0.0b

Counts

135 → 3

Compiler

Compiled 2538 to 647 computations (74.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2)))
0.0b	(*.f64 (+.f64 t y) (+.f64 t y))
6.1b	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
10.4b	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))

rewrite361.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`*-un-lft-identity_binary64_419`
19×	`add-sqr-sqrt_binary64_441`
14×	`add-cube-cbrt_binary64_454`
13×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `distribute-lft-out_binary64_370`
9×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
8×	`flip3-+_binary64_422` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385` `associate-r_binary64_359`
7×	`flip3--_binary64_423` `flip--_binary64_394` `associate-l_binary64_360`
6×	`associate-r/_binary64_361` `associate--l+_binary64_356` `swap-sqr_binary64_386` `associate-l/_binary64_362` `frac-add_binary64_427`
5×	`times-frac_binary64_425` `associate-/r*_binary64_363`
4×	`sub-neg_binary64_412` `frac-times_binary64_429` `frac-sub_binary64_428` `associate-+l+_binary64_352`
3×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `diff-log_binary64_511` `sum-log_binary64_510`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366` `associate-/r/_binary64_365` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `*-commutative_binary64_350`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/l*_binary64_364` `difference-of-squares_binary64_388` `pow2_binary64_500` `pow-prod-up_binary64_489` `pow-plus_binary64_482` `pow-sqr_binary64_392` `associate-+l-_binary64_354` `+-commutative_binary64_349`

Counts

4 → 127

Calls

4 calls:

39.0ms	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))
23.0ms	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
18.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2)))
9.0ms	(*.f64 (+.f64 t y) (+.f64 t y))

Compiler

Compiled 5756 to 2871 computations (50.1% saved)

series3.7s (29.9%)

Error

0.0b

Counts

4 → 82

Calls

4 calls:

2.8s	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2)))
390.0ms	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))
312.0ms	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
85.0ms	(*.f64 (+.f64 t y) (+.f64 t y))

Compiler

Compiled 7780 to 5544 computations (28.7% saved)

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4956	6644
1	4956	6644

prune408.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	209	3	212

Error

0.0b

Counts

212 → 3

Compiler

Compiled 7980 to 4044 computations (49.3% saved)

regimes559.0ms (4.5%)

Accuracy

Total 0.0b remaining (64.3%)

Threshold costs 0.0b (64.3%)

Compiler

Compiled 4457 to 4401 computations (1.3% saved)

bsearch0.0ms (0%)

simplify225.0ms (1.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	31
1	146	31

end0.0ms (0%)

sample2.2s (17.2%)

Algorithm

1×

intervals

Results

498.0ms	7997×	body	128	valid
280.0ms	4445×	body	128	invalid
0.0ms	3×	body	512	valid

Compiler

Compiled 672 to 658 computations (2.1% saved)

Details

analyze1.9s (15.4%)

sample48.0ms (0.4%)

simplify135.0ms (1.1%)

prune3.0ms (0%)

localize19.0ms (0.1%)

rewrite277.0ms (2.2%)

series1.1s (9%)

simplify92.0ms (0.7%)

prune250.0ms (2%)

localize12.0ms (0.1%)

rewrite89.0ms (0.7%)

series760.0ms (6.1%)

simplify64.0ms (0.5%)

prune129.0ms (1%)

localize20.0ms (0.2%)

rewrite361.0ms (2.9%)

series3.7s (29.9%)

simplify121.0ms (1%)

prune408.0ms (3.3%)

regimes559.0ms (4.5%)

bsearch0.0ms (0%)

simplify225.0ms (1.8%)

end0.0ms (0%)

sample2.2s (17.2%)

Profiling