Details

analyze149.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	15	14
0	2	2
1	2	2

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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms (0.1%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298`
3×	`prod-exp_binary64_8311` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `associate-r_binary64_8202`
2×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
1×	`associate-l_binary64_8203` `*-commutative_binary64_8193` `add-log-exp_binary64_8301`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series29.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify55.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5057	177

prune16.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Error

0.0b

Counts

22 → 6

Compiler

Compiled 217 to 73 computations (66.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_8323`
10×	`add-sqr-sqrt_binary64_8284`
9×	`pow1/3_binary64_8344`
8×	`add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
7×	`cbrt-prod_binary64_8293`
6×	`add-exp-log_binary64_8300`
4×	`add-cbrt-cube_binary64_8298` `associate-l_binary64_8203` `associate-r_binary64_8202` `add-log-exp_binary64_8301` `swap-sqr_binary64_8229`
2×	`pow-sqr_binary64_8235` `pow-prod-up_binary64_8332` `pow-prod-down_binary64_8333`
1×	`prod-exp_binary64_8311` `pow2_binary64_8343` `unswap-sqr_binary64_8230` `cbrt-unprod_binary64_8295` `*-commutative_binary64_8193` `pow-plus_binary64_8325`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
3.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
3.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
3.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

series337.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x y))) (cbrt.f64 (.f64 y (*.f64 x y))))
89.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
77.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
73.0ms	(cbrt.f64 (.f64 y (.f64 x y)))

simplify127.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5133	709

prune57.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	8	76

Error

0.0b

Counts

76 → 8

Compiler

Compiled 1534 to 328 computations (78.6% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
12.1b	(cbrt.f64 (*.f64 y x))
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_8293`
5×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-log-exp_binary64_8301` `pow1/3_binary64_8344`

Counts

4 → 38

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
3.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
2.0ms	(cbrt.f64 (*.f64 y x))
1.0ms	(cbrt.f64 y)

series300.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
72.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
57.0ms	(cbrt.f64 (*.f64 y x))

simplify55.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4952	442
1	4952	442

prune50.0ms (2.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	47	11	58

Error

0.0b

Counts

58 → 11

Compiler

Compiled 1376 to 276 computations (79.9% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))
19.0b	(cbrt.f64 (.f64 y (.f64 x y)))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_8293`
6×	`add-sqr-sqrt_binary64_8284` `add-cube-cbrt_binary64_8297` `*-un-lft-identity_binary64_8262`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-log-exp_binary64_8301` `pow1/3_binary64_8344`

Counts

4 → 40

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
4.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)

series309.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
78.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 (.f64 y (.f64 x y)))
76.0ms	(cbrt.f64 x)

simplify74.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4915	430
1	4915	430

prune39.0ms (1.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	52	11	63

Error

0.0b

Counts

63 → 11

Compiler

Compiled 1314 to 227 computations (82.7% saved)

regimes87.0ms (3.8%)

Accuracy

Total 0.1b remaining (86.1%)

Threshold costs 0.1b (86.1%)

Compiler

Compiled 881 to 475 computations (46.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample529.0ms (22.8%)

Algorithm

1×

intervals

Results

152.0ms	8000×	body	128	valid
3.0ms	178×	body	128	invalid

Compiler

Compiled 300 to 164 computations (45.3% saved)

Details

analyze149.0ms (6.4%)

sample11.0ms (0.5%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.3%)

series29.0ms (1.2%)

simplify55.0ms (2.3%)

prune16.0ms (0.7%)

localize8.0ms (0.3%)

rewrite20.0ms (0.9%)

series337.0ms (14.5%)

simplify127.0ms (5.5%)

prune57.0ms (2.5%)

localize12.0ms (0.5%)

rewrite13.0ms (0.6%)

series300.0ms (12.9%)

simplify55.0ms (2.4%)

prune50.0ms (2.1%)

localize12.0ms (0.5%)

rewrite12.0ms (0.5%)

series309.0ms (13.3%)

simplify74.0ms (3.2%)

prune39.0ms (1.7%)

regimes87.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample529.0ms (22.8%)

Profiling