Details

analyze656.0ms (17.3%)

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	57×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify210.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	704	13
1	704	13

prune2.0ms (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

Merged error: 2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.1b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_8186`
13×	`associate-r_binary64_8107`
12×	`*-un-lft-identity_binary64_8165`
10×	`times-frac_binary64_8171` `add-cube-cbrt_binary64_8197`
7×	`add-cbrt-cube_binary64_8198` `add-exp-log_binary64_8200`
5×	`associate-l_binary64_8108`
4×	`pow1_binary64_8223` `add-log-exp_binary64_8201`
2×	`frac-times_binary64_8175` `prod-exp_binary64_8211` `flip--_binary64_8140` `flip3--_binary64_8169` `cbrt-unprod_binary64_8195` `associate-*l/_binary64_8110` `unswap-sqr_binary64_8133`
1×	`flip3-+_binary64_8168` `sum-log_binary64_8253` `distribute-lft-out--_binary64_8119` `+-commutative_binary64_8097` `pow-prod-down_binary64_8233` `-commutative_binary64_8098` `difference-of-squares_binary64_8134` `cbrt-undiv_binary64_8196` `flip-+_binary64_8139` `associate-r/_binary64_8109` `div-inv_binary64_8162` `div-exp_binary64_8213`

Counts

2 → 49

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series195.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

112.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
83.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5279	832

prune51.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

Compiler

Compiled 925 to 261 computations (71.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.0b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_8200`
14×	`add-cbrt-cube_binary64_8198` `add-sqr-sqrt_binary64_8186`
11×	`*-un-lft-identity_binary64_8165`
9×	`cbrt-prod_binary64_8193` `add-cube-cbrt_binary64_8197` `prod-exp_binary64_8211` `cbrt-unprod_binary64_8195`
6×	`pow1_binary64_8223`
5×	`associate-l_binary64_8108` `associate-r_binary64_8107`
4×	`cbrt-undiv_binary64_8196` `div-exp_binary64_8213` `add-log-exp_binary64_8201`
3×	`pow1/3_binary64_8244`
2×	`times-frac_binary64_8171` `frac-times_binary64_8175` `flip--_binary64_8140` `flip3--_binary64_8169` `associate-*l/_binary64_8110` `unswap-sqr_binary64_8133`
1×	`distribute-lft-out--_binary64_8119` `pow-prod-down_binary64_8233` `-commutative_binary64_8098` `difference-of-squares_binary64_8134` `associate-r/_binary64_8109` `div-inv_binary64_8162`

Counts

4 → 69

Calls

4 calls:

16.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series734.0ms (19.4%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
164.0ms	(cbrt.f64 z)
157.0ms	(cbrt.f64 z)
149.0ms	(cbrt.f64 z)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4948	1103
1	4948	1103

prune82.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0.0b

Counts

88 → 7

Compiler

Compiled 2200 to 598 computations (72.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.6b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_8165` `add-sqr-sqrt_binary64_8186`
10×	`add-cbrt-cube_binary64_8198` `add-exp-log_binary64_8200`
7×	`add-cube-cbrt_binary64_8197`
5×	`associate-l_binary64_8108` `pow1_binary64_8223` `add-log-exp_binary64_8201`
4×	`associate-*l/_binary64_8110`
3×	`times-frac_binary64_8171` `associate-/r_binary64_8111` `associate-r*_binary64_8107`
2×	`associate-/l/_binary64_8114` `cbrt-undiv_binary64_8196` `prod-exp_binary64_8211` `flip--_binary64_8140` `flip3--_binary64_8169` `cbrt-unprod_binary64_8195` `div-exp_binary64_8213`
1×	`flip3-+_binary64_8168` `sum-log_binary64_8253` `distribute-lft-out--_binary64_8119` `+-commutative_binary64_8097` `pow-prod-down_binary64_8233` `-commutative_binary64_8098` `distribute-lft-out_binary64_8118` `difference-of-squares_binary64_8134` `flip-+_binary64_8139` `frac-2neg_binary64_8176` `clear-num_binary64_8164` `associate-/l_binary64_8112` `div-inv_binary64_8162` `unswap-sqr_binary64_8133`

Counts

3 → 57

Calls

3 calls:

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

series257.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

112.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
81.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
64.0ms	(*.f64 (-.f64 y x) z)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4978	824
1	4978	824

prune49.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	67	6	73

Merged error: 0b

Counts

73 → 6

Compiler

Compiled 940 to 260 computations (72.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
6.5b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64_8171`
88×	`*-un-lft-identity_binary64_8165`
86×	`add-sqr-sqrt_binary64_8186`
58×	`add-cube-cbrt_binary64_8197`
14×	`distribute-lft-out--_binary64_8119` `difference-of-squares_binary64_8134`
13×	`associate-/r*_binary64_8111`
7×	`add-cbrt-cube_binary64_8198` `div-inv_binary64_8162` `add-exp-log_binary64_8200`
5×	`associate-/l*_binary64_8112`
4×	`add-log-exp_binary64_8201`
3×	`cbrt-undiv_binary64_8196` `div-exp_binary64_8213`
2×	`pow1_binary64_8223` `associate-/l/_binary64_8114` `div-sub_binary64_8170`
1×	`flip3-+_binary64_8168` `sum-log_binary64_8253` `+-commutative_binary64_8097` `distribute-lft-out_binary64_8118` `flip-+_binary64_8139` `associate-/r/_binary64_8113` `frac-2neg_binary64_8176` `clear-num_binary64_8164` `associate-+r-_binary64_8101` `flip--_binary64_8140` `flip3--_binary64_8169`

Counts

2 → 114

Calls

2 calls:

22.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series192.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

113.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
79.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6102	2589

prune84.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	120	6	126

Merged error: 0b

Counts

126 → 6

Compiler

Compiled 2141 to 402 computations (81.2% saved)

regimes80.0ms (2.1%)

Compiler: Compiled 452 to 394 computations (12.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample759.0ms (20%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
75.0ms	2072×	body	128	invalid

Compiler

Compiled 150 to 102 computations (32% saved)

Details

analyze656.0ms (17.3%)

sample20.0ms (0.5%)

simplify210.0ms (5.5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite20.0ms (0.5%)

series195.0ms (5.1%)

simplify62.0ms (1.6%)

prune51.0ms (1.3%)

localize17.0ms (0.4%)

rewrite28.0ms (0.7%)

series734.0ms (19.4%)

simplify56.0ms (1.5%)

prune82.0ms (2.2%)

localize7.0ms (0.2%)

rewrite28.0ms (0.7%)

series257.0ms (6.8%)

simplify61.0ms (1.6%)

prune49.0ms (1.3%)

localize7.0ms (0.2%)

rewrite44.0ms (1.2%)

series192.0ms (5.1%)

simplify81.0ms (2.1%)

prune84.0ms (2.2%)

regimes80.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample759.0ms (20%)

Profiling