Details

analyze2.5s (23.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5046	1591
0	9	9
1	9	9

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample83.0ms (0.8%)

Algorithm

1×

intervals

Results

24.0ms	339×	body	128	invalid
19.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify622.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (617.0ms)

Iter	Nodes	Cost
0	4635	43
1	4635	43

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

Merged error: 14.0b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c z) (.f64 t i))
5.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_21242`
10×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
9×	`associate-r_binary64_21160` `associate-l_binary64_21161`
7×	`cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213`
6×	`distribute-lft-in_binary64_21169` `add-log-exp_binary64_21259` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170`
4×	`flip3--_binary64_21224` `flip--_binary64_21195`
3×	`*-commutative_binary64_21151` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188`
1×	`diff-log_binary64_21312`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(-.f64 (.f64 c z) (.f64 t i))

series299.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
84.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
76.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
43.0ms	(-.f64 (.f64 c z) (.f64 t i))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4943	1492
1	4943	1492

prune172.0ms (1.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	72	24	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	24	97

Merged error: 10.7b

Counts

97 → 24

Compiler

Compiled 4293 to 1010 computations (76.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.1b	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
3.1b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
5.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite52.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_21281` `add-exp-log_binary64_21258`
19×	`add-sqr-sqrt_binary64_21242`
15×	`add-cbrt-cube_binary64_21256`
13×	`associate-r_binary64_21160`
11×	`add-cube-cbrt_binary64_21255` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `*-un-lft-identity_binary64_21220`
10×	`associate-l_binary64_21161`
6×	`associate-*r/_binary64_21162`
4×	`distribute-lft-in_binary64_21169` `flip3--_binary64_21224` `add-log-exp_binary64_21259` `cancel-sign-sub-inv_binary64_21186` `associate-l/_binary64_21163` `sub-neg_binary64_21213` `-commutative_binary64_21151` `cbrt-prod_binary64_21251` `flip--_binary64_21195` `distribute-rgt-in_binary64_21170` `unswap-sqr_binary64_21188`

Counts

4 → 96

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
8.0ms	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
8.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series479.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j))
147.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c a) (*.f64 i y)) (cbrt.f64 j)))
86.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
83.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5686	1747

prune154.0ms (1.4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	23	23
Picked	1	0	1
Done	0	0	0
Total	107	25	132

Merged error: 10.7b

Counts

132 → 25

Compiler

Compiled 5349 to 1099 computations (79.5% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_21242`
12×	`associate-r_binary64_21160` `pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `add-cube-cbrt_binary64_21255` `associate-l_binary64_21161` `*-un-lft-identity_binary64_21220`
8×	`distribute-lft-in_binary64_21169` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170`
4×	`flip3--_binary64_21224` `add-log-exp_binary64_21259` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `flip--_binary64_21195` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188`

Counts

4 → 96

Calls

4 calls:

8.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

series324.0ms (3%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
84.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
79.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
76.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5222	1696

prune181.0ms (1.7%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	107	26	133

Merged error: 10.7b

Counts

133 → 26

Compiler

Compiled 7315 to 1156 computations (84.2% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
7.9b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
7.9b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
7.9b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_21242`
9×	`add-cube-cbrt_binary64_21255` `cbrt-prod_binary64_21251` `*-un-lft-identity_binary64_21220`
6×	`pow1_binary64_21281` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `cbrt-div_binary64_21252`
4×	`flip3--_binary64_21224` `add-log-exp_binary64_21259` `flip--_binary64_21195`
3×	`associate-r_binary64_21160` `pow1/3_binary64_21302` `associate-l_binary64_21161`
2×	`distribute-lft-in_binary64_21169` `cancel-sign-sub-inv_binary64_21186` `sub-neg_binary64_21213` `associate-*r/_binary64_21162` `distribute-rgt-in_binary64_21170`
1×	`*-commutative_binary64_21151` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `unswap-sqr_binary64_21188`

Counts

4 → 63

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))

series534.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
151.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
140.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
88.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5019	1393

prune96.0ms (0.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	25	25
Picked	1	0	1
Done	0	0	0
Total	74	27	101

Merged error: 10.7b

Counts

101 → 27

Compiler

Compiled 4123 to 438 computations (89.4% saved)

regimes1.1s (10.5%)

Compiler: Compiled 18436 to 12098 computations (34.4% saved)

bsearch116.0ms (1.1%)

Steps

Iters	Range		Point
9	4.2862862394365636e-92	1.0654037732449357e-86	4.340002262977332e-92
8	-1.0492256957720934e-148	-1.3327119793756181e-151	-2.9989015616246914e-151

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	733	132
1	733	132

end0.0ms (0%)

sample3.6s (32.8%)

Algorithm

1×

intervals

Results

862.0ms	10965×	body	128	invalid
615.0ms	8000×	body	128	valid

Compiler

Compiled 2070 to 1312 computations (36.6% saved)

Details

analyze2.5s (23.4%)

sample83.0ms (0.8%)

simplify622.0ms (5.7%)

prune3.0ms (0%)

localize24.0ms (0.2%)

rewrite34.0ms (0.3%)

series299.0ms (2.8%)

simplify72.0ms (0.7%)

prune172.0ms (1.6%)

localize26.0ms (0.2%)

rewrite52.0ms (0.5%)

series479.0ms (4.4%)

simplify54.0ms (0.5%)

prune154.0ms (1.4%)

localize28.0ms (0.3%)

rewrite43.0ms (0.4%)

series324.0ms (3%)

simplify65.0ms (0.6%)

prune181.0ms (1.7%)

localize29.0ms (0.3%)

rewrite27.0ms (0.2%)

series534.0ms (4.9%)

simplify67.0ms (0.6%)

prune96.0ms (0.9%)

regimes1.1s (10.5%)

bsearch116.0ms (1.1%)

simplify28.0ms (0.3%)

end0.0ms (0%)

sample3.6s (32.8%)

Profiling