Details

analyze2.3s (19.5%)

Algorithm

1×

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)

sample89.0ms (0.8%)

Algorithm

1×

intervals

Results

31.0ms	319×	body	128	invalid
19.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify561.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (398.0ms)

Iter	Nodes	Cost
0	5661	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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (.f64 c t) (.f64 i y))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_15263`
10×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275` `*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
9×	`associate-l_binary64_15185` `associate-r_binary64_15184`
7×	`sub-neg_binary64_15235`
6×	`associate-*r/_binary64_15186` `add-log-exp_binary64_15278`
4×	`flip3--_binary64_15246` `flip--_binary64_15217`
3×	`distribute-rgt-in_binary64_15194` `*-commutative_binary64_15175` `cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `unswap-sqr_binary64_15210` `distribute-lft-in_binary64_15193` `prod-exp_binary64_15288`
1×	`diff-log_binary64_15331`

Counts

4 → 77

Calls

4 calls:

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

series576.0ms (5%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
165.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
164.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
80.0ms	(-.f64 (.f64 c t) (.f64 i y))

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4923	1390
1	4923	1390

prune154.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	20	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 8.6b

Counts

90 → 20

Compiler

Compiled 3890 to 893 computations (77% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 b (neg.f64 (.f64 a i)))
5.3b	(.f64 b (.f64 z c))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_15263`
15×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275`
13×	`associate-r_binary64_15184`
12×	`associate-l_binary64_15185`
11×	`*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
6×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `prod-exp_binary64_15288`
4×	`sub-neg_binary64_15235` `-commutative_binary64_15175` `associate-r/_binary64_15186` `add-log-exp_binary64_15278`
3×	`unswap-sqr_binary64_15210`
2×	`distribute-rgt-in_binary64_15194` `flip3--_binary64_15246` `flip--_binary64_15217` `distribute-lft-in_binary64_15193`
1×	`distribute-rgt-neg-in_binary64_15202` `neg-mul-1_binary64_15238` `distribute-lft-neg-in_binary64_15201` `distribute-rgt-neg-out_binary64_15204`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0ms	(.f64 b (.f64 z c))
5.0ms	(.f64 b (neg.f64 (.f64 a i)))

series433.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
169.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
47.0ms	(.f64 b (neg.f64 (.f64 a i)))
45.0ms	(.f64 b (.f64 z c))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4949	1207
1	4949	1207

prune135.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	4	15	19
Picked	1	0	1
Done	0	0	0
Total	98	18	116

Merged error: 6.4b

Counts

116 → 18

Compiler

Compiled 4218 to 888 computations (78.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b)))
3.2b	(.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_15277` `pow1_binary64_15300`
19×	`add-sqr-sqrt_binary64_15263`
15×	`add-cbrt-cube_binary64_15275`
13×	`associate-r_binary64_15184`
11×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `*-un-lft-identity_binary64_15242` `prod-exp_binary64_15288` `add-cube-cbrt_binary64_15274`
10×	`associate-l_binary64_15185`
6×	`associate-*r/_binary64_15186`
4×	`sub-neg_binary64_15235` `-commutative_binary64_15175` `cbrt-prod_binary64_15270` `flip3--_binary64_15246` `associate-l/_binary64_15187` `add-log-exp_binary64_15278` `unswap-sqr_binary64_15210` `flip--_binary64_15217`
2×	`distribute-rgt-in_binary64_15194` `distribute-lft-in_binary64_15193`

Counts

4 → 92

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b)))
10.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series902.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

283.0ms	(.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b))
269.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 z c) (*.f64 a i)) (cbrt.f64 b)))
176.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
174.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5279	1683

prune142.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	16	17
Picked	0	1	1
Done	0	0	0
Total	103	19	122

Merged error: 6.4b

Counts

122 → 19

Compiler

Compiled 4882 to 938 computations (80.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.3b	(.f64 b (.f64 z c))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.9b	(.f64 (.f64 a b) (neg.f64 i))
6.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite37.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275`
17×	`associate-r_binary64_15184`
16×	`add-sqr-sqrt_binary64_15263`
12×	`*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
10×	`associate-l_binary64_15185`
8×	`cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `prod-exp_binary64_15288`
4×	`sub-neg_binary64_15235` `-commutative_binary64_15175` `associate-r/_binary64_15186` `add-log-exp_binary64_15278`
3×	`distribute-rgt-neg-in_binary64_15202` `distribute-lft-neg-in_binary64_15201`
2×	`distribute-rgt-in_binary64_15194` `flip3--_binary64_15246` `unswap-sqr_binary64_15210` `flip--_binary64_15217` `distribute-lft-in_binary64_15193`
1×	`neg-mul-1_binary64_15238` `distribute-rgt-neg-out_binary64_15204`

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 (.f64 a b) (neg.f64 i))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0ms	(.f64 b (.f64 z c))

series443.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
169.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
49.0ms	(.f64 b (.f64 z c))
48.0ms	(.f64 (.f64 a b) (neg.f64 i))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5251	1241

prune109.0ms (0.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	17	17
Picked	1	0	1
Done	0	1	1
Total	98	21	119

Merged error: 6.4b

Counts

119 → 21

Compiler

Compiled 3641 to 427 computations (88.3% saved)

regimes1.5s (12.7%)

Compiler: Compiled 17076 to 12048 computations (29.4% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	407	175
1	407	175

end0.0ms (0%)

sample3.8s (32.7%)

Algorithm

1×

intervals

Results

909.0ms	11380×	body	128	invalid
652.0ms	8000×	body	128	valid

Compiler

Compiled 2032 to 1318 computations (35.1% saved)

Details

analyze2.3s (19.5%)

sample89.0ms (0.8%)

simplify561.0ms (4.9%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite34.0ms (0.3%)

series576.0ms (5%)

simplify62.0ms (0.5%)

prune154.0ms (1.3%)

localize27.0ms (0.2%)

rewrite34.0ms (0.3%)

series433.0ms (3.7%)

simplify66.0ms (0.6%)

prune135.0ms (1.2%)

localize26.0ms (0.2%)

rewrite52.0ms (0.4%)

series902.0ms (7.8%)

simplify44.0ms (0.4%)

prune142.0ms (1.2%)

localize23.0ms (0.2%)

rewrite37.0ms (0.3%)

series443.0ms (3.8%)

simplify68.0ms (0.6%)

prune109.0ms (0.9%)

regimes1.5s (12.7%)

bsearch7.0ms (0.1%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample3.8s (32.7%)

Profiling