Details

analyze1.4s (28.7%)

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
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample40.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	137×	body	80	invalid

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4977	21
1	4977	21

prune9.0ms (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

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate-+l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
8.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- t 1.0) a)
6.0ms	(* (- y 1.0) z)

series64.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
7.0ms	(* (- (+ y t) 2.0) b)
4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	2369
1	4970	2369

prune234.0ms (4.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
5.0ms	(cbrt (* (- t 1.0) a))
5.0ms	(cbrt (* (- t 1.0) a))
5.0ms	(cbrt (* (- t 1.0) a))

series65.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
16.0ms	(cbrt (* (- t 1.0) a))
14.0ms	(cbrt (* (- t 1.0) a))
14.0ms	(cbrt (* (- t 1.0) a))

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5430	976

prune244.0ms (4.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))

series129.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
31.0ms	(cbrt (* (- (+ y t) 2.0) b))
28.0ms	(cbrt (* (- (+ y t) 2.0) b))
27.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5045	1192

prune242.0ms (4.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* b (cbrt (- (+ y t) 2.0))))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))

rewrite47.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-*r/`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
14×	`associate-*l/`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

25.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* b (cbrt (- (+ y t) 2.0))))
7.0ms	(cbrt (- (+ y t) 2.0))
5.0ms	(cbrt (- (+ y t) 2.0))
5.0ms	(cbrt (- (+ y t) 2.0))

series82.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- (+ y t) 2.0))
23.0ms	(cbrt (- (+ y t) 2.0))
23.0ms	(cbrt (- (+ y t) 2.0))
11.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* b (cbrt (- (+ y t) 2.0))))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4927	1994
1	4927	1994

prune294.0ms (5.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0b

Counts

114 → 6

regimes516.0ms (10.4%)

Accuracy

Total 0.3b remaining (96%)

Threshold costs 0.3b (96%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	243	36
1	243	36

end0.0ms (0%)

sample1.1s (22.2%)

Algorithm

1×

intervals

Results

437.0ms	7999×	body	80	valid
250.0ms	4577×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze1.4s (28.7%)

sample40.0ms (0.8%)

simplify68.0ms (1.4%)

prune9.0ms (0.2%)

localize17.0ms (0.4%)

rewrite35.0ms (0.7%)

series64.0ms (1.3%)

simplify52.0ms (1%)

prune234.0ms (4.7%)

localize19.0ms (0.4%)

rewrite23.0ms (0.5%)

series65.0ms (1.3%)

simplify60.0ms (1.2%)

prune244.0ms (4.9%)

localize22.0ms (0.4%)

rewrite34.0ms (0.7%)

series129.0ms (2.6%)

simplify64.0ms (1.3%)

prune242.0ms (4.9%)

localize19.0ms (0.4%)

rewrite47.0ms (0.9%)

series82.0ms (1.6%)

simplify50.0ms (1%)

prune294.0ms (5.9%)

regimes516.0ms (10.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (22.2%)

Profiling