Details

analyze45.0ms (1.6%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample10.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify98.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

prune3.0ms (0.1%)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (.f64 x 27) y)
0.3b	(.f64 (.f64 x 27) y)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`associate-r_binary64_6156` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
1×	`associate-l_binary64_6157` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 18

Calls

2 calls:

5.0ms	(.f64 (.f64 x 27) y)
0.0ms	(.f64 (.f64 x 27) y)

series53.0ms (1.9%)

Counts

1 → 6

Calls

1 calls:

53.0ms

(*.f64 (*.f64 x 27) y)

Compiler

Compiled 60 to 60 computations (0% saved)

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4888	200
1	4888	200

prune25.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Error

0.0b

Counts

25 → 6

Compiler

Compiled 238 to 166 computations (30.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 x (.f64 27 y))
0.2b	(.f64 x (.f64 27 y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249` `associate-l_binary64_6157`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
1×	`associate-r_binary64_6156` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 18

Calls

2 calls:

5.0ms	(.f64 x (.f64 27 y))
0.0ms	(.f64 x (.f64 27 y))

series52.0ms (1.9%)

Counts

1 → 6

Calls

1 calls:

52.0ms

(*.f64 x (*.f64 27 y))

Compiler

Compiled 60 to 60 computations (0% saved)

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4915	198
1	4915	198

prune17.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	23	7	30

Error

0.0b

Counts

30 → 7

Compiler

Compiled 244 to 170 computations (30.3% saved)

localize10.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 y)
0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.4b	(.f64 (.f64 x 27) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.3b	(.f64 (.f64 (.f64 x 27) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(.f64 (.f64 (.f64 x 27) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

series324.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
79.0ms	(cbrt.f64 y)
78.0ms	(cbrt.f64 y)
71.0ms	(cbrt.f64 y)

Compiler

Compiled 346 to 286 computations (17.3% saved)

simplify77.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune64.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1286 to 598 computations (53.5% saved)

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (.f64 x 27) y))) (cbrt.f64 (.f64 (.f64 x 27) y)))
0.3b	(.f64 (.f64 x 27) y)
0.3b	(.f64 (.f64 x 27) y)
0.3b	(.f64 (.f64 x 27) y)
0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
9.6b	(cbrt.f64 (.f64 (.f64 x 27) y))
9.6b	(cbrt.f64 (.f64 (.f64 x 27) y))
9.6b	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_6277`
10×	`add-sqr-sqrt_binary64_6238`
9×	`pow1/3_binary64_6298`
8×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
7×	`cbrt-prod_binary64_6247`
6×	`add-exp-log_binary64_6254`
4×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `unswap-sqr_binary64_6184` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 58

Calls

8 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
0.0ms	(.f64 (.f64 x 27) y)

series894.0ms (32%)

Counts

4 → 24

Calls

4 calls:

282.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
208.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
205.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
199.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

Compiler

Compiled 1204 to 1036 computations (14% saved)

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5079	887

prune94.0ms (3.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	3	3
Picked	1	0	1
Done	1	2	3
Total	79	10	89

Error

0.0b

Counts

89 → 10

Compiler

Compiled 1714 to 1216 computations (29.1% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	374
1	92	374

regimes166.0ms (5.9%)

Compiler: Compiled 1250 to 1086 computations (13.1% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.6%)

Accuracy

Total 0.3b remaining (95%)

Threshold costs 0.3b (95%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 7 to 11 computations (-57.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms (0%)

sample592.0ms (21.2%)

Algorithm

1×

intervals

Results

136.0ms	8000×	body	128	valid
1.0ms	91×	body	128	invalid

Compiler

Compiled 257 to 227 computations (11.7% saved)

Pareto

0.0

Details

analyze45.0ms (1.6%)

sample10.0ms (0.4%)

simplify98.0ms (3.5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series53.0ms (1.9%)

simplify59.0ms (2.1%)

prune25.0ms (0.9%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series52.0ms (1.9%)

simplify59.0ms (2.1%)

prune17.0ms (0.6%)

localize10.0ms (0.4%)

rewrite15.0ms (0.5%)

series324.0ms (11.6%)

simplify77.0ms (2.7%)

prune64.0ms (2.3%)

localize9.0ms (0.3%)

rewrite22.0ms (0.8%)

series894.0ms (32%)

simplify61.0ms (2.2%)

prune94.0ms (3.4%)

simplify8.0ms (0.3%)

regimes166.0ms (5.9%)

bsearch0.0ms (0%)

regimes16.0ms (0.6%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample592.0ms (21.2%)

Profiling