Details

analyze298.0ms (11.6%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify160.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

prune8.0ms (0.3%)

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 33 to 24 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.1b	(.f64 z (.f64 z 3))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
4×	`add-log-exp_binary64_14604`
3×	`add-sqr-sqrt_binary64_14589` `associate-l_binary64_14511` `cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `add-cube-cbrt_binary64_14600` `*-un-lft-identity_binary64_14568`
1×	`flip3-+_binary64_14571` `sum-log_binary64_14656` `associate-r_binary64_14510` `*-commutative_binary64_14501` `+-commutative_binary64_14500` `flip-+_binary64_14542`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 z (.f64 z 3))
5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))

series122.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
36.0ms	(.f64 z (.f64 z 3))

simplify84.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4892	419
1	4892	419

prune39.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

Compiler

Compiled 546 to 314 computations (42.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_14626` `add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
4×	`add-sqr-sqrt_binary64_14589` `add-log-exp_binary64_14604`
3×	`associate-r_binary64_14510` `cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `pow-prod-down_binary64_14636` `add-cube-cbrt_binary64_14600` `*-un-lft-identity_binary64_14568`
1×	`flip3-+_binary64_14571` `associate-l_binary64_14511` `sum-log_binary64_14656` `*-commutative_binary64_14501` `+-commutative_binary64_14500` `flip-+_binary64_14542` `unswap-sqr_binary64_14536`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) 3)
4.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))

series125.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

87.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
38.0ms	(.f64 (.f64 z z) 3)

simplify50.0ms (2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5112	435

prune30.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

Compiler

Compiled 530 to 271 computations (48.9% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

0.1b

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.3b

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite42.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64_14626`
33×	`add-exp-log_binary64_14603`
27×	`pow-prod-down_binary64_14636`
21×	`cbrt-unprod_binary64_14598` `prod-exp_binary64_14614`
20×	`add-cbrt-cube_binary64_14601`
7×	`associate-r_binary64_14510`
5×	`add-sqr-sqrt_binary64_14589` `add-cube-cbrt_binary64_14600` `add-log-exp_binary64_14604` `*-un-lft-identity_binary64_14568`
4×	`pow-plus_binary64_14628` `pow-prod-up_binary64_14635`
3×	`cbrt-prod_binary64_14596`
2×	`pow-sqr_binary64_14541` `associate-l_binary64_14511` `*-commutative_binary64_14501` `pow2_binary64_14646`
1×	`flip3-+_binary64_14571` `sum-log_binary64_14656` `+-commutative_binary64_14500` `flip-+_binary64_14542` `unswap-sqr_binary64_14536`

Counts

3 → 70

Calls

3 calls:

18.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

12.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

5.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series316.0ms (12.3%)

Counts

3 → 9

Calls

3 calls:

147.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

92.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

77.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify63.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4932	884
1	4932	884

prune69.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

Compiler

Compiled 1227 to 745 computations (39.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (.f64 z 3))
0.4b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
21.0b	(sqrt.f64 (.f64 z (.f64 z 3)))
21.0b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_14626`
80×	`pow-prod-down_binary64_14636`
66×	`sqrt-pow1_binary64_14585`
17×	`pow-prod-up_binary64_14635`
14×	`pow1/2_binary64_14645`
11×	`add-sqr-sqrt_binary64_14589` `pow-sqr_binary64_14541` `add-cbrt-cube_binary64_14601` `add-exp-log_binary64_14603`
9×	`add-cube-cbrt_binary64_14600` `*-un-lft-identity_binary64_14568`
7×	`associate-l_binary64_14511`
6×	`sqrt-prod_binary64_14583`
5×	`associate-r_binary64_14510`
4×	`cbrt-unprod_binary64_14598` `prod-exp_binary64_14614` `swap-sqr_binary64_14535` `add-log-exp_binary64_14604`
2×	`*-commutative_binary64_14501`
1×	`pow-plus_binary64_14628` `rem-square-sqrt_binary64_14580` `sqrt-unprod_binary64_14587` `pow2_binary64_14646` `unswap-sqr_binary64_14536`

Counts

4 → 108

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
5.0ms	(.f64 z (.f64 z 3))
5.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))

series205.0ms (8%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
46.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
45.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
36.0ms	(.f64 z (.f64 z 3))

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5095	737

prune99.0ms (3.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

Compiler

Compiled 1837 to 1139 computations (38% saved)

regimes73.0ms (2.8%)

Compiler: Compiled 464 to 395 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample600.0ms (23.4%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
15.0ms	476×	body	128	invalid

Compiler

Compiled 117 to 94 computations (19.7% saved)

Details

analyze298.0ms (11.6%)

sample17.0ms (0.6%)

simplify160.0ms (6.2%)

prune8.0ms (0.3%)

localize6.0ms (0.2%)

rewrite12.0ms (0.5%)

series122.0ms (4.7%)

simplify84.0ms (3.3%)

prune39.0ms (1.5%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series125.0ms (4.9%)

simplify50.0ms (2%)

prune30.0ms (1.2%)

localize13.0ms (0.5%)

rewrite42.0ms (1.6%)

series316.0ms (12.3%)

simplify63.0ms (2.5%)

prune69.0ms (2.7%)

localize9.0ms (0.3%)

rewrite37.0ms (1.5%)

series205.0ms (8%)

simplify67.0ms (2.6%)

prune99.0ms (3.8%)

regimes73.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample600.0ms (23.4%)

Profiling