Details

analyze2.1s (20.3%)

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)

sample90.0ms (0.9%)

Algorithm

1×

intervals

Results

28.0ms	370×	body	128	invalid
25.0ms	256×	body	128	valid

Compiler

Compiled 59 to 56 computations (5.1% saved)

simplify605.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (599.0ms)

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

Error

11.6b

Counts

2 → 1

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 y z) (.f64 t a))
4.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_12376`
10×	`pow1_binary64_12415` `*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
9×	`associate-l_binary64_12295` `associate-r_binary64_12294`
7×	`cancel-sign-sub-inv_binary64_12320` `sub-neg_binary64_12347`
6×	`add-log-exp_binary64_12393` `distribute-lft-in_binary64_12303` `associate-*r/_binary64_12296` `distribute-rgt-in_binary64_12304`
4×	`flip--_binary64_12329` `flip3--_binary64_12358`
3×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`
1×	`diff-log_binary64_12446`

Counts

4 → 84

Calls

4 calls:

11.0ms	(.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 y z) (.f64 t a))

series292.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
82.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
82.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
39.0ms	(-.f64 (.f64 y z) (.f64 t a))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4937	1492
1	4937	1492

prune149.0ms (1.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	78	18	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	18	97

Error

8.0b

Counts

97 → 18

Compiler

Compiled 4027 to 836 computations (79.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.4b	(.f64 (-.f64 (.f64 z y) (*.f64 a t)) (cbrt.f64 x))
2.5b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 a t)) (cbrt.f64 x)))
4.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite50.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
19×	`add-sqr-sqrt_binary64_12376`
15×	`add-cbrt-cube_binary64_12390`
13×	`associate-r_binary64_12294`
11×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
10×	`associate-l_binary64_12295`
6×	`associate-*r/_binary64_12296`
4×	`flip--_binary64_12329` `cbrt-prod_binary64_12385` `add-log-exp_binary64_12393` `associate-l/_binary64_12297` `cancel-sign-sub-inv_binary64_12320` `distribute-lft-in_binary64_12303` `flip3--_binary64_12358` `distribute-rgt-in_binary64_12304` `unswap-sqr_binary64_12322` `sub-neg_binary64_12347` `-commutative_binary64_12285`

Counts

4 → 96

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 a t)) (cbrt.f64 x)))
9.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
8.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 a t)) (cbrt.f64 x))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series455.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 z y) (*.f64 a t)) (cbrt.f64 x)))
145.0ms	(.f64 (-.f64 (.f64 z y) (*.f64 a t)) (cbrt.f64 x))
85.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
80.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4972	1747
1	4972	1747

prune143.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	106	20	126

Error

8.0b

Counts

126 → 20

Compiler

Compiled 5105 to 970 computations (81% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-*r/_binary64_12296` `add-sqr-sqrt_binary64_12376`
6×	`cbrt-div_binary64_12386` `pow1_binary64_12415` `*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
4×	`flip--_binary64_12329` `add-log-exp_binary64_12393` `flip3--_binary64_12358`
3×	`pow1/3_binary64_12436` `cbrt-prod_binary64_12385` `associate-l_binary64_12295` `associate-r_binary64_12294`
2×	`cancel-sign-sub-inv_binary64_12320` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `sub-neg_binary64_12347`
1×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`

Counts

4 → 57

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))

series597.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
170.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
168.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
80.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4934	1268
1	4934	1268

prune120.0ms (1.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	67	22	89

Error

8.0b

Counts

89 → 22

Compiler

Compiled 4898 to 993 computations (79.7% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.7b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
5.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
7.8b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_12376`
7×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
6×	`cbrt-div_binary64_12386` `pow1_binary64_12415` `associate-*r/_binary64_12296` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
5×	`cbrt-prod_binary64_12385`
4×	`flip--_binary64_12329` `add-log-exp_binary64_12393` `flip3--_binary64_12358`
3×	`pow1/3_binary64_12436` `associate-l_binary64_12295` `associate-r_binary64_12294`
2×	`cancel-sign-sub-inv_binary64_12320` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304` `sub-neg_binary64_12347`
1×	`pow-prod-down_binary64_12425` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `*-commutative_binary64_12285`

Counts

4 → 59

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
6.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

series577.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
170.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
144.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
76.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5834	1268

prune101.0ms (1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	71	22	93

Error

8.0b

Counts

93 → 22

Compiler

Compiled 4191 to 511 computations (87.8% saved)

regimes1.1s (10.3%)

Accuracy

Total 3.2b remaining (28.4%)

Threshold costs 0b (0%)

Compiler

Compiled 18606 to 12058 computations (35.2% saved)

bsearch4.0ms (0%)

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	533	119
1	533	119

end0.0ms (0%)

sample3.6s (34.5%)

Algorithm

1×

intervals

Results

887.0ms	11174×	body	128	invalid
659.0ms	8000×	body	128	valid

Compiler

Compiled 2148 to 1307 computations (39.2% saved)

Details

analyze2.1s (20.3%)

sample90.0ms (0.9%)

simplify605.0ms (5.7%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite38.0ms (0.4%)

series292.0ms (2.8%)

simplify73.0ms (0.7%)

prune149.0ms (1.4%)

localize24.0ms (0.2%)

rewrite50.0ms (0.5%)

series455.0ms (4.3%)

simplify49.0ms (0.5%)

prune143.0ms (1.4%)

localize25.0ms (0.2%)

rewrite31.0ms (0.3%)

series597.0ms (5.7%)

simplify63.0ms (0.6%)

prune120.0ms (1.1%)

localize28.0ms (0.3%)

rewrite32.0ms (0.3%)

series577.0ms (5.5%)

simplify87.0ms (0.8%)

prune101.0ms (1%)

regimes1.1s (10.3%)

bsearch4.0ms (0%)

simplify19.0ms (0.2%)

end0.0ms (0%)

sample3.6s (34.5%)

Profiling