Details

analyze2.2s (20.4%)

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

27.0ms	325×	body	128	invalid
21.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify560.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (393.0ms)

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: 15.7b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 y z) (.f64 t a))
5.4b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite33.0ms (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 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.0ms	(-.f64 (.f64 y z) (.f64 t a))

series596.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
174.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
165.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
78.0ms	(-.f64 (.f64 y z) (.f64 t a))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4923	1390
1	4923	1390

prune155.0ms (1.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	71	18	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Merged error: 11.9b

Counts

90 → 18

Compiler

Compiled 3806 to 847 computations (77.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite42.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_15263`
12×	`associate-l_binary64_15185` `add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275` `associate-r_binary64_15184` `*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
8×	`sub-neg_binary64_15235` `associate-*r/_binary64_15186`
4×	`distribute-rgt-in_binary64_15194` `*-commutative_binary64_15175` `flip3--_binary64_15246` `cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `add-log-exp_binary64_15278` `unswap-sqr_binary64_15210` `flip--_binary64_15217` `distribute-lft-in_binary64_15193` `prod-exp_binary64_15288`

Counts

4 → 88

Calls

4 calls:

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

series646.0ms (6%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
166.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
156.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
153.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4974	1568
1	4974	1568

prune163.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	100	18	118

Merged error: 11.9b

Counts

118 → 18

Compiler

Compiled 6491 to 935 computations (85.6% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
9.5b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
9.5b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
9.5b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_15263`
9×	`cbrt-prod_binary64_15270` `*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
6×	`add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275` `cbrt-div_binary64_15271`
4×	`flip3--_binary64_15246` `add-log-exp_binary64_15278` `flip--_binary64_15217`
3×	`pow1/3_binary64_15321` `associate-l_binary64_15185` `associate-r_binary64_15184`
2×	`sub-neg_binary64_15235` `associate-*r/_binary64_15186`
1×	`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`

Counts

4 → 61

Calls

4 calls:

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

series958.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
265.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
262.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
165.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	1364
1	4944	1364

prune128.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	72	19	91

Merged error: 11.9b

Counts

91 → 19

Compiler

Compiled 4772 to 947 computations (80.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.4b	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
6.4b	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
6.4b	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
8.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_15263`
12×	`associate-l_binary64_15185` `add-exp-log_binary64_15277` `pow1_binary64_15300` `add-cbrt-cube_binary64_15275` `associate-r_binary64_15184` `*-un-lft-identity_binary64_15242` `add-cube-cbrt_binary64_15274`
8×	`sub-neg_binary64_15235` `associate-*r/_binary64_15186`
4×	`distribute-rgt-in_binary64_15194` `*-commutative_binary64_15175` `flip3--_binary64_15246` `cbrt-unprod_binary64_15272` `pow-prod-down_binary64_15310` `add-log-exp_binary64_15278` `unswap-sqr_binary64_15210` `flip--_binary64_15217` `distribute-lft-in_binary64_15193` `prod-exp_binary64_15288`

Counts

4 → 88

Calls

4 calls:

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

series677.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
171.0ms	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
167.0ms	(.f64 j (-.f64 (.f64 t c) (*.f64 y i)))
166.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4967	1568
1	4967	1568

prune127.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	98	21	119

Merged error: 11.9b

Counts

119 → 21

Compiler

Compiled 5804 to 425 computations (92.7% saved)

regimes516.0ms (4.8%)

Compiler: Compiled 7704 to 5067 computations (34.2% saved)

bsearch117.0ms (1.1%)

Steps

Iters	Range		Point
8	1.6220802718259975e-150	1.4767313269149317e-147	1.4175088114738808e-148
7	-3.35507640804212e-57	-3.6037456220003667e-59	-3.65435875498549e-59

Compiler

Compiled 1 to 9 computations (-800% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	271	181
1	271	181

end0.0ms (0%)

sample3.3s (30.8%)

Algorithm

1×

intervals

Results

1.0s	11239×	body	128	invalid
710.0ms	8000×	body	128	valid

Compiler

Compiled 1188 to 683 computations (42.5% saved)

Details

analyze2.2s (20.4%)

sample89.0ms (0.8%)

simplify560.0ms (5.2%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite33.0ms (0.3%)

series596.0ms (5.6%)

simplify61.0ms (0.6%)

prune155.0ms (1.4%)

localize25.0ms (0.2%)

rewrite42.0ms (0.4%)

series646.0ms (6%)

simplify59.0ms (0.6%)

prune163.0ms (1.5%)

localize28.0ms (0.3%)

rewrite28.0ms (0.3%)

series958.0ms (8.9%)

simplify60.0ms (0.6%)

prune128.0ms (1.2%)

localize25.0ms (0.2%)

rewrite44.0ms (0.4%)

series677.0ms (6.3%)

simplify59.0ms (0.6%)

prune127.0ms (1.2%)

regimes516.0ms (4.8%)

bsearch117.0ms (1.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.3s (30.8%)

Profiling