Details

analyze281.0ms (6.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	241×	body	128	valid
1.0ms	5×	body	1024	valid
1.0ms	17×	body	128	invalid
0.0ms	6×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify161.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3110`
5×	`associate-r_binary64_3052` `add-sqr-sqrt_binary64_3131`
3×	`distribute-lft-out_binary64_3063` `add-cube-cbrt_binary64_3142` `add-exp-log_binary64_3145` `pow1_binary64_3168` `associate-l_binary64_3053` `add-cbrt-cube_binary64_3143`
2×	`associate-*r/_binary64_3054`
1×	`prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `add-log-exp_binary64_3146` `flip3-+_binary64_3113` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `flip-+_binary64_3084`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series59.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

58.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify110.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4907	315
1	4907	315

prune30.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

Compiler

Compiled 410 to 225 computations (45.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

rewrite50.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64_3110`
51×	`cbrt-prod_binary64_3138`
33×	`distribute-lft-out_binary64_3063`
23×	`add-sqr-sqrt_binary64_3131`
18×	`cbrt-div_binary64_3139`
15×	`add-cube-cbrt_binary64_3142`
14×	`swap-sqr_binary64_3077`
11×	`pow1_binary64_3168`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
8×	`associate-l_binary64_3053` `associate-r_binary64_3052`
6×	`add-exp-log_binary64_3145`
4×	`frac-times_binary64_3120` `add-log-exp_binary64_3146` `unswap-sqr_binary64_3078` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-r/_binary64_3054` `associate-l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `pow-plus_binary64_3170`

Counts

4 → 105

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
7.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

series526.0ms (12.2%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
128.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
128.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
124.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4893	2156
1	4893	2156

prune155.0ms (3.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	117	5	122

Merged error: 0b

Counts

122 → 5

Compiler

Compiled 3294 to 1960 computations (40.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3054`
18×	`cbrt-div_binary64_3139`
11×	`pow1_binary64_3168`
10×	`add-sqr-sqrt_binary64_3131`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
8×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
7×	`cbrt-prod_binary64_3138`
6×	`add-exp-log_binary64_3145`
4×	`frac-times_binary64_3120` `swap-sqr_binary64_3077` `add-log-exp_binary64_3146` `associate-l_binary64_3053` `associate-r_binary64_3052` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-*l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078` `pow-plus_binary64_3170`

Counts

4 → 72

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))

series1.3s (30.6%)

Counts

4 → 12

Calls

4 calls:

398.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
314.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
306.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
305.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4878	1729
1	4878	1729

prune119.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

Compiler

Compiled 2677 to 1534 computations (42.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
8.1b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
13.4b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_3110`
20×	`add-sqr-sqrt_binary64_3131`
12×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-cbrt-cube_binary64_3143`
11×	`add-cube-cbrt_binary64_3142`
8×	`distribute-lft-out_binary64_3063` `associate-r_binary64_3052`
7×	`associate-l_binary64_3053`
6×	`times-frac_binary64_3116` `swap-sqr_binary64_3077` `associate-r/_binary64_3054` `flip3-+_binary64_3113` `associate-/r_binary64_3056` `flip-+_binary64_3084`
4×	`frac-times_binary64_3120` `distribute-lft-out--_binary64_3064`
3×	`prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `difference-of-squares_binary64_3079` `add-log-exp_binary64_3146` `flip3--_binary64_3114` `flip--_binary64_3085`
2×	`sub-neg_binary64_3103` `pow-prod-down_binary64_3178` `cbrt-undiv_binary64_3141` `div-exp_binary64_3158` `associate-/l/_binary64_3059` `associate-/r/_binary64_3058` `associate-l/_binary64_3055` `-commutative_binary64_3043` `unswap-sqr_binary64_3078` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062`
1×	`pow2_binary64_3188` `pow-sqr_binary64_3083` `clear-num_binary64_3109` `frac-2neg_binary64_3121` `pow-prod-up_binary64_3177` `associate-/l*_binary64_3057` `div-inv_binary64_3107` `pow-plus_binary64_3170`

Counts

3 → 94

Calls

3 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
10.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
7.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series375.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

226.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
125.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
24.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5014	1693

prune99.0ms (2.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	103	5	108

Merged error: 0b

Counts

108 → 5

Compiler

Compiled 2180 to 1093 computations (49.9% saved)

regimes40.0ms (0.9%)

Compiler: Compiled 303 to 228 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample623.0ms (14.4%)

Algorithm

1×

intervals

Results

237.0ms	7509×	body	128	valid
21.0ms	678×	body	128	invalid
18.0ms	163×	body	1024	valid
16.0ms	203×	body	512	valid
7.0ms	125×	body	256	valid

Compiler

Compiled 125 to 97 computations (22.4% saved)

Details

analyze281.0ms (6.5%)

sample17.0ms (0.4%)

simplify161.0ms (3.7%)

prune6.0ms (0.2%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series59.0ms (1.4%)

simplify110.0ms (2.5%)

prune30.0ms (0.7%)

localize9.0ms (0.2%)

rewrite50.0ms (1.2%)

series526.0ms (12.2%)

simplify95.0ms (2.2%)

prune155.0ms (3.6%)

localize9.0ms (0.2%)

rewrite39.0ms (0.9%)

series1.3s (30.6%)

simplify72.0ms (1.7%)

prune119.0ms (2.7%)

localize8.0ms (0.2%)

rewrite37.0ms (0.9%)

series375.0ms (8.7%)

simplify59.0ms (1.4%)

prune99.0ms (2.3%)

regimes40.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample623.0ms (14.4%)

Profiling