Details

sample44.0ms

Algorithm

intervals

Results

23.0ms

421×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

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×	`associate-+l+` `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-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
6.0ms	(* (- y 1.0) z)
16.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
9.0ms	(* (- (+ y t) 2.0) b)

series244.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- t 1.0) a)
28.0ms	(* (- y 1.0) z)
157.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
27.0ms	(* (- (+ y t) 2.0) b)

simplify109.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune314.0ms

Filtered

109 candidates to 75 candidates (68.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))

series434.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
99.0ms	(cbrt (- t 1.0))
99.0ms	(cbrt (- t 1.0))
107.0ms	(cbrt (- t 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	368	838
1	1223	798
2	5002	736

prune397.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`associate-*r/` `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:

28.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
5.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))
5.0ms	(cbrt (- (+ y t) 2.0))

series538.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
259.0ms	(cbrt (- (+ y t) 2.0))
109.0ms	(cbrt (- (+ y t) 2.0))
113.0ms	(cbrt (- (+ y t) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	478	1498
1	1296	1311
2	5001	1243

prune323.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Merged error: 0.0b

Counts

111 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (exp (log (* (- (+ y t) 2.0) b))))
0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)
2.9b	(exp (log (* (- (+ y t) 2.0) b)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

16.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (exp (log (* (- (+ y t) 2.0) b))))
6.0ms	(* (- y 1.0) z)
9.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(exp (log (* (- (+ y t) 2.0) b)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (exp (log (* (- (+ y t) 2.0) b))))
29.0ms	(* (- y 1.0) z)
29.0ms	(* (- (+ y t) 2.0) b)
27.0ms	(exp (log (* (- (+ y t) 2.0) b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	700	1354
1	3377	1284
2	5003	1280

prune334.0ms

Filtered

104 candidates to 72 candidates (69.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

regimes149.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

702.0ms	12693×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

Details

sample44.0ms

simplify41.0ms

prune3.0ms

localize15.0ms

rewrite41.0ms

series244.0ms

simplify109.0ms

prune314.0ms

localize18.0ms

rewrite24.0ms

series434.0ms

simplify45.0ms

prune397.0ms

localize18.0ms

rewrite49.0ms

series538.0ms

simplify50.0ms

prune323.0ms

localize19.0ms

rewrite43.0ms

series243.0ms

simplify89.0ms

prune334.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling