Details

analyze1.9s (28.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample39.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	80	valid
2.0ms	25×	body	80	invalid

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4914	37
1	4914	37

prune19.0ms (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: 26.1b

Counts

2 → 2

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
0.1b	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.4b	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
25.4b	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite84.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l`
5×	`flip3-+` `associate-*r/` `flip-+`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num`

Counts

4 → 109

Calls

4 calls:

29.0ms	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
13.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
12.0ms	(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))

series206.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
49.0ms	(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
11.0ms	(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
5.0ms	(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4993	3583
1	4993	3583

prune380.0ms (5.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	7	121
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
0.3b	(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
0.6b	(* (/ y z) (- (/ t z) 36.527041698806414))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-cube-cbrt` `times-frac`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r`
5×	`pow1`
4×	`sub-neg` `sum-log`
3×	`associate-+r+`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 68

Calls

3 calls:

12.0ms	(* (/ y z) (- (/ t z) 36.527041698806414))
6.0ms	(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
5.0ms	(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))

series45.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ x (+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414))))
14.0ms	(+ (* 3.13060547623 y) (* (/ y z) (- (/ t z) 36.527041698806414)))
10.0ms	(* (/ y z) (- (/ t z) 36.527041698806414))

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5134	1084

prune151.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z))))
0.1b	(/ (- (/ t z) 36.527041698806414) z)
0.3b	(+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z)))
3.9b	(* y (/ (- (/ t z) 36.527041698806414) z))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
44×	`times-frac`
42×	`*-un-lft-identity`
26×	`add-cube-cbrt`
22×	`associate-r`
14×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `associate-/l*`
4×	`sum-log`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`associate-+r+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

13.0ms	(* y (/ (- (/ t z) 36.527041698806414) z))
9.0ms	(/ (- (/ t z) 36.527041698806414) z)
6.0ms	(+ x (+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z))))
5.0ms	(+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z)))

series55.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ x (+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z))))
15.0ms	(+ (* 3.13060547623 y) (* y (/ (- (/ t z) 36.527041698806414) z)))
11.0ms	(* y (/ (- (/ t z) 36.527041698806414) z))
6.0ms	(/ (- (/ t z) 36.527041698806414) z)

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4993	1515
1	4993	1515

prune208.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	120	10	130

Merged error: 0.0b

Counts

130 → 10

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

15.3b	(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
16.7b	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
16.7b	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
16.7b	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

13.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
13.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
13.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
12.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series150.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
47.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
45.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))
10.0ms	(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5287	1664

prune411.0ms (6.1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

regimes1.2s (18.1%)

Accuracy

Total 1.0b remaining (67.7%)

Threshold costs 1.0b (67.7%)

bsearch78.0ms (1.2%)

Steps

Iters	Range		Point
10	1633930484.6506915	5.0398721698197395e+22	8583854952815885.0
10	-7.4931324362761865e+34	-9.009759999822937e+21	-1.8010994585646794e+25

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	75
1	82	75

end0.0ms (0%)

sample1.3s (19.2%)

Algorithm

1×

intervals

Results

899.0ms	8000×	body	80	valid
75.0ms	869×	body	80	invalid

Details

analyze1.9s (28.8%)

sample39.0ms (0.6%)

simplify62.0ms (0.9%)

prune19.0ms (0.3%)

localize24.0ms (0.4%)

rewrite84.0ms (1.2%)

series206.0ms (3.1%)

simplify58.0ms (0.9%)

prune380.0ms (5.6%)

localize10.0ms (0.1%)

rewrite26.0ms (0.4%)

series45.0ms (0.7%)

simplify25.0ms (0.4%)

prune151.0ms (2.2%)

localize10.0ms (0.2%)

rewrite37.0ms (0.5%)

series55.0ms (0.8%)

simplify45.0ms (0.7%)

prune208.0ms (3.1%)

localize39.0ms (0.6%)

rewrite52.0ms (0.8%)

series150.0ms (2.2%)

simplify68.0ms (1%)

prune411.0ms (6.1%)

regimes1.2s (18.1%)

bsearch78.0ms (1.2%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (19.2%)

Profiling