Details

analyze262.0ms (10.1%)

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify25.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	302	10
1	302	10

prune4.0ms (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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

series16.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
7.0ms	(*.f64 (-.f64 y x) z)

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5048	448

prune21.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

Compiler

Compiled 500 to 141 computations (71.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

series274.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
54.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
52.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
50.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

simplify122.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5472	2353

prune56.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

Compiler

Compiled 3353 to 520 computations (84.5% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
18×	`unpow-prod-down_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 70

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

series412.0ms (15.9%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
122.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
117.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))) 2))
52.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

simplify114.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5404	2012

prune80.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	82	4	86

Merged error: 0b

Counts

86 → 4

Compiler

Compiled 4260 to 1304 computations (69.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3)))
0.3b	(pow.f64 (*.f64 (-.f64 y x) z) 3)
33.4b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*l/_binary64`
5×	`associate-l_binary64`
4×	`cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) z)
7.0ms	(pow.f64 (*.f64 (-.f64 y x) z) 3)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3)))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

series52.0ms (2%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow.f64 (*.f64 (-.f64 y x) z) 3)
12.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3)))
12.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))
9.0ms	(*.f64 (-.f64 y x) z)

simplify88.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5193	1104

prune47.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	89	4	93

Merged error: 0b

Counts

93 → 4

Compiler

Compiled 1268 to 497 computations (60.8% saved)

regimes131.0ms (5%)

Compiler: Compiled 368 to 202 computations (45.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample691.0ms (26.7%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	80	valid
14.0ms	627×	body	80	invalid

Compiler

Compiled 102 to 59 computations (42.2% saved)

Details

analyze262.0ms (10.1%)

sample14.0ms (0.5%)

simplify25.0ms (1%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series16.0ms (0.6%)

simplify65.0ms (2.5%)

prune21.0ms (0.8%)

localize9.0ms (0.3%)

rewrite21.0ms (0.8%)

series274.0ms (10.6%)

simplify122.0ms (4.7%)

prune56.0ms (2.2%)

localize15.0ms (0.6%)

rewrite20.0ms (0.8%)

series412.0ms (15.9%)

simplify114.0ms (4.4%)

prune80.0ms (3.1%)

localize8.0ms (0.3%)

rewrite25.0ms (1%)

series52.0ms (2%)

simplify88.0ms (3.4%)

prune47.0ms (1.8%)

regimes131.0ms (5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample691.0ms (26.7%)

Profiling