Details

sample61.0ms

Algorithm

intervals

Results

40.0ms

423×

body

valid

simplify38.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (- y 1.0) z)
14.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
13.0ms	(* (- t 1.0) a)
54.0ms	(* (- (+ y t) 2.0) b)

series180.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y 1.0) z)
92.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
32.0ms	(* (- t 1.0) a)
27.0ms	(* (- (+ y t) 2.0) b)

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	520	593
1	2119	539
2	5001	539

prune280.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

21.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
2.0ms	(cbrt (- y 1.0))
2.0ms	(cbrt (- y 1.0))
2.0ms	(cbrt (- y 1.0))

series423.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
104.0ms	(cbrt (- y 1.0))
98.0ms	(cbrt (- y 1.0))
100.0ms	(cbrt (- y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	368	838
1	1223	798
2	5001	732

prune445.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite31.0ms

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:

20.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
2.0ms	(cbrt (- t 1.0))
2.0ms	(cbrt (- t 1.0))
2.0ms	(cbrt (- t 1.0))

series419.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
102.0ms	(cbrt (- t 1.0))
96.0ms	(cbrt (- t 1.0))
98.0ms	(cbrt (- t 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	368	838
1	1223	798
2	5002	733

prune581.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

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))

rewrite159.0ms

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:

124.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
9.0ms	(cbrt (- (+ y t) 2.0))
9.0ms	(cbrt (- (+ y t) 2.0))
11.0ms	(cbrt (- (+ y t) 2.0))

series356.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
101.0ms	(cbrt (- (+ y t) 2.0))
101.0ms	(cbrt (- (+ y t) 2.0))
104.0ms	(cbrt (- (+ y t) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

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

prune347.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes177.0ms

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

sample1.6s

Algorithm

intervals

Results

1.2s	12611×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid