Details

analyze571.0ms (11%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	57×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify166.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune2.0ms (0%)

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 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3146`
1×	`+-commutative_binary64_3042` `add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `add-exp-log_binary64_3145` `pow1_binary64_3168` `flip3-+_binary64_3113` `sum-log_binary64_3198` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084` `add-sqr-sqrt_binary64_3131`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series74.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

74.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4934	208
1	4934	208

prune12.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

Compiler

Compiled 231 to 67 computations (71% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3138`
23×	`add-sqr-sqrt_binary64_3131`
18×	`cbrt-div_binary64_3139`
15×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
11×	`pow1_binary64_3168`
9×	`flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
6×	`add-exp-log_binary64_3145` `swap-sqr_binary64_3077` `associate-l_binary64_3053` `associate-r_binary64_3052`
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 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series1.0s (19.8%)

Counts

4 → 12

Calls

4 calls:

314.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
243.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
237.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
233.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5055	2183

prune103.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

Compiler

Compiled 3291 to 573 computations (82.6% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_3138`
8×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `cbrt-div_binary64_3139` `add-sqr-sqrt_binary64_3131`
4×	`add-exp-log_binary64_3145` `pow1_binary64_3168` `add-log-exp_binary64_3146` `flip3-+_binary64_3113` `pow1/3_binary64_3189` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series921.0ms (17.8%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
228.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
224.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
223.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4893	1236
1	4893	1236

prune88.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	6	69

Merged error: 0b

Counts

69 → 6

Compiler

Compiled 3047 to 597 computations (80.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/3)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110` `add-sqr-sqrt_binary64_3131` `cbrt-prod_binary64_3138`
6×	`cbrt-div_binary64_3139`
5×	`add-exp-log_binary64_3145` `pow1_binary64_3168`
4×	`add-log-exp_binary64_3146` `add-cbrt-cube_binary64_3143`
3×	`flip3-+_binary64_3113` `pow-unpow_binary64_3184` `pow1/3_binary64_3189` `flip-+_binary64_3084` `unpow-prod-down_binary64_3186`
1×	`pow-pow_binary64_3179` `pow-exp_binary64_3175` `unpow1/3_binary64_3174` `sqr-pow_binary64_3082` `pow-to-exp_binary64_3176`

Counts

4 → 57

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/3)
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series901.0ms (17.4%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/3)
232.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
219.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
216.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4893	1166
1	4893	1166

prune97.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0b

Counts

75 → 6

Compiler

Compiled 3132 to 788 computations (74.8% saved)

regimes117.0ms (2.3%)

Compiler: Compiled 1231 to 612 computations (50.3% 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%)

sample643.0ms (12.4%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	128	valid
36.0ms	1348×	body	128	invalid

Compiler

Compiled 186 to 97 computations (47.8% saved)

Details

analyze571.0ms (11%)

sample18.0ms (0.3%)

simplify166.0ms (3.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series74.0ms (1.4%)

simplify66.0ms (1.3%)

prune12.0ms (0.2%)

localize12.0ms (0.2%)

rewrite34.0ms (0.6%)

series1.0s (19.8%)

simplify64.0ms (1.2%)

prune103.0ms (2%)

localize16.0ms (0.3%)

rewrite22.0ms (0.4%)

series921.0ms (17.8%)

simplify102.0ms (2%)

prune88.0ms (1.7%)

localize22.0ms (0.4%)

rewrite25.0ms (0.5%)

series901.0ms (17.4%)

simplify70.0ms (1.3%)

prune97.0ms (1.9%)

regimes117.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample643.0ms (12.4%)

Profiling