Details

analyze634.0ms (19.8%)

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify66.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune5.0ms (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: 5.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
5.1b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)
6.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series35.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
12.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
10.0ms	(*.f64 (-.f64 y x) z)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5583	824

prune53.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

Compiler

Compiled 972 to 285 computations (70.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
6.4b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

20.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series25.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
12.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5389	2589

prune75.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	118	8	126

Merged error: 0b

Counts

126 → 8

Compiler

Compiled 2255 to 479 computations (78.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.2b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series24.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
12.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify79.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5331	832

prune37.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	55	8	63

Merged error: 0b

Counts

63 → 8

Compiler

Compiled 932 to 263 computations (71.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
0.0b	(*.f64 (-.f64 y x) z)
5.2b	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`prod-exp_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`times-frac_binary64`
8×	`associate-*l/_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 75

Calls

3 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))
7.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))

series32.0ms (1%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))
12.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
7.0ms	(*.f64 (-.f64 y x) z)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	6001	1081

prune40.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0b

Counts

92 → 8

Compiler

Compiled 1241 to 395 computations (68.2% saved)

regimes226.0ms (7.1%)

Compiler: Compiled 500 to 376 computations (24.8% saved)

bsearch30.0ms (0.9%)

Steps

Iters	Range		Point
10	9.17365178962996e-225	2.0122175595556568e-210	1.793191128596424e-213
6	-1.0500540027516041e-22	-2.332820814041905e-23	-2.4476369137687332e-23

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	39	43
1	39	43

end0.0ms (0%)

sample1.5s (45.8%)

Algorithm

1×

intervals

Results

440.0ms	8000×	body	80	valid
62.0ms	2047×	body	80	invalid

Compiler

Compiled 197 to 140 computations (28.9% saved)

Details

analyze634.0ms (19.8%)

sample21.0ms (0.7%)

simplify66.0ms (2.1%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite21.0ms (0.7%)

series35.0ms (1.1%)

simplify63.0ms (2%)

prune53.0ms (1.7%)

localize6.0ms (0.2%)

rewrite35.0ms (1.1%)

series25.0ms (0.8%)

simplify78.0ms (2.4%)

prune75.0ms (2.4%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series24.0ms (0.8%)

simplify79.0ms (2.5%)

prune37.0ms (1.2%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series32.0ms (1%)

simplify83.0ms (2.6%)

prune40.0ms (1.2%)

regimes226.0ms (7.1%)

bsearch30.0ms (0.9%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (45.8%)

Profiling