Details

sample55.0ms

Algorithm

intervals

Results

25.0ms

406×

body

valid

simplify36.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize14.0ms

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

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:

11.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- y 1.0) z)
6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)

series59.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- y 1.0) z)
4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)

simplify104.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (19.0ms)

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

prune161.0ms

Filtered

109 candidates to 75 candidates (31.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	2	110

Merged error: 0.0b

Counts

110 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))
9.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	368	950
1	1216	913
2	5001	852

prune264.0ms

Filtered

113 candidates to 81 candidates (28.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

localize21.0ms

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))

rewrite35.0ms

Algorithm

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:

12.0ms	(* (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))

series124.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
27.0ms	(cbrt (* (- (+ y t) 2.0) b))
29.0ms	(cbrt (* (- (+ y t) 2.0) b))
26.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	377	1025
1	1180	960
2	5001	902

prune215.0ms

Filtered

84 candidates to 67 candidates (20.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0.0b

Counts

86 → 2

regimes400.0ms

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

sample1.4s

Algorithm

intervals

Results

682.0ms	12497×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample55.0ms

simplify36.0ms

prune5.0ms

localize14.0ms

rewrite35.0ms

series59.0ms

simplify104.0ms

prune161.0ms

localize17.0ms

rewrite23.0ms

series33.0ms

simplify42.0ms

prune264.0ms

localize21.0ms

rewrite35.0ms

series124.0ms

simplify42.0ms

prune215.0ms

regimes400.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Profiling