Details

analyze2.0s (18.6%)

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)

sample83.0ms (0.8%)

Algorithm

1×

intervals

Results

25.0ms	335×	body	128	invalid
19.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify407.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (397.0ms)

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: 10.9b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
3.5b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
3.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`associate-*r/_binary64`
11×	`sub-neg_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`associate--r+_binary64` `associate--l+_binary64`
1×	`diff-log_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
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)))

series986.0ms (9%)

Counts

4 → 12

Calls

4 calls:

478.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
171.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
171.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
165.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5027	2300

prune169.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	78	19	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	19	98

Merged error: 6.2b

Counts

98 → 19

Compiler

Compiled 4405 to 902 computations (79.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
2.2b	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
3.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite48.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64` `add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
10×	`associate-l_binary64`
6×	`associate-*r/_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `cbrt-prod_binary64` `associate-l/_binary64` `-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 92

Calls

4 calls:

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

series874.0ms (8%)

Counts

4 → 12

Calls

4 calls:

282.0ms	(.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j))
262.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (-.f64 (.f64 c t) (*.f64 i y)) (cbrt.f64 j)))
171.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
160.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5250	1683

prune138.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	103	20	123

Merged error: 6.2b

Counts

123 → 20

Compiler

Compiled 4928 to 941 computations (80.9% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.0b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.0b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.0b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

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

series959.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
256.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
255.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
184.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4948	1364
1	4948	1364

prune127.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	74	19	93

Merged error: 6.2b

Counts

93 → 19

Compiler

Compiled 4765 to 909 computations (80.9% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 (-.f64 (.f64 c t) (.f64 i y)) (.f64 (cbrt.f64 (cbrt.f64 j)) (cbrt.f64 (cbrt.f64 j))))
1.8b	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (.f64 (-.f64 (.f64 c t) (.f64 i y)) (*.f64 (cbrt.f64 (cbrt.f64 j)) (cbrt.f64 (cbrt.f64 j)))) (cbrt.f64 (cbrt.f64 j))))
3.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite66.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`pow1_binary64` `add-exp-log_binary64`
29×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
25×	`add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
10×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-r_binary64`
6×	`associate-r/_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 101

Calls

4 calls:

24.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (.f64 (-.f64 (.f64 c t) (.f64 i y)) (*.f64 (cbrt.f64 (cbrt.f64 j)) (cbrt.f64 (cbrt.f64 j)))) (cbrt.f64 (cbrt.f64 j))))
12.0ms	(.f64 (-.f64 (.f64 c t) (.f64 i y)) (.f64 (cbrt.f64 (cbrt.f64 j)) (cbrt.f64 (cbrt.f64 j))))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

series1.0s (9.5%)

Counts

4 → 12

Calls

4 calls:

428.0ms	(.f64 (-.f64 (.f64 c t) (.f64 i y)) (.f64 (cbrt.f64 (cbrt.f64 j)) (cbrt.f64 (cbrt.f64 j))))
266.0ms	(.f64 (.f64 (cbrt.f64 j) (cbrt.f64 j)) (.f64 (.f64 (-.f64 (.f64 c t) (.f64 i y)) (*.f64 (cbrt.f64 (cbrt.f64 j)) (cbrt.f64 (cbrt.f64 j)))) (cbrt.f64 (cbrt.f64 j))))
174.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
169.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5043	1968

prune128.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	113	19	132

Merged error: 6.2b

Counts

132 → 19

Compiler

Compiled 5109 to 508 computations (90.1% saved)

regimes435.0ms (4%)

Compiler: Compiled 6615 to 4482 computations (32.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	325	55
1	325	55

end0.0ms (0%)

sample3.0s (27.3%)

Algorithm

1×

intervals

Results

869.0ms	10821×	body	128	invalid
625.0ms	8000×	body	128	valid

Compiler

Compiled 984 to 601 computations (38.9% saved)

Details

analyze2.0s (18.6%)

sample83.0ms (0.8%)

simplify407.0ms (3.7%)

prune3.0ms (0%)

localize21.0ms (0.2%)

rewrite40.0ms (0.4%)

series986.0ms (9%)

simplify76.0ms (0.7%)

prune169.0ms (1.5%)

localize25.0ms (0.2%)

rewrite48.0ms (0.4%)

series874.0ms (8%)

simplify46.0ms (0.4%)

prune138.0ms (1.3%)

localize28.0ms (0.3%)

rewrite28.0ms (0.3%)

series959.0ms (8.8%)

simplify78.0ms (0.7%)

prune127.0ms (1.2%)

localize32.0ms (0.3%)

rewrite66.0ms (0.6%)

series1.0s (9.5%)

simplify69.0ms (0.6%)

prune128.0ms (1.2%)

regimes435.0ms (4%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.0s (27.3%)

Profiling