Details

Time bar (total: 5.8s)

sample40.0ms

Algorithm
intervals
Results
20.0ms378×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (41.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
16×associate-*l*
13×add-cube-cbrt
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
9×associate-*r* add-log-exp
8×flip3-- flip--
6×prod-diff
5×associate--l+
4×expm1-log1p-u frac-sub log1p-expm1-u distribute-lft-out--
3×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×sub-neg
1×associate--l- distribute-lft-out
Counts
4 → 104
Calls
4 calls:
10.0ms
(* (- y 1.0) z)
16.0ms
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
10.0ms
(* (- t 1.0) a)
54.0ms
(* (- (+ y t) 2.0) b)

series185.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (- y 1.0) z)
96.0ms
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
29.0ms
(* (- t 1.0) a)
31.0ms
(* (- (+ y t) 2.0) b)

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0572700
12330624
25001611

prune363.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt a) (cbrt a))
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)

series739.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt a) (cbrt a))
178.0ms
(cbrt a)
174.0ms
(cbrt a)
182.0ms
(cbrt a)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune358.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite154.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 104
Calls
4 calls:
123.0ms
(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
9.0ms
(cbrt (- (+ y t) 2.0))
8.0ms
(cbrt (- (+ y t) 2.0))
9.0ms
(cbrt (- (+ y t) 2.0))

series386.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
108.0ms
(cbrt (- (+ y t) 2.0))
109.0ms
(cbrt (- (+ y t) 2.0))
114.0ms
(cbrt (- (+ y t) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04891545
113471361
250011282

prune439.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- (+ y t) 2.0))
0.7b
(cbrt (- (+ y t) 2.0))
14.8b
(cbrt (+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0))))
21.2b
(cbrt (- (pow (+ y t) 3) (pow 2.0 3)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
40×*-un-lft-identity
36×add-sqr-sqrt
24×cbrt-div
21×flip3-+ flip-+
18×difference-of-squares
16×unpow-prod-down cube-prod frac-add
13×distribute-lft-out--
8×frac-times add-cube-cbrt sqr-pow
6×distribute-lft-out
4×pow1 add-exp-log expm1-log1p-u pow1/3 associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip--
1×difference-cubes
Counts
4 → 108
Calls
4 calls:
8.0ms
(cbrt (- (+ y t) 2.0))
9.0ms
(cbrt (- (+ y t) 2.0))
14.0ms
(cbrt (+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0))))
26.0ms
(cbrt (- (pow (+ y t) 3) (pow 2.0 3)))

series646.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (- (+ y t) 2.0))
104.0ms
(cbrt (- (+ y t) 2.0))
115.0ms
(cbrt (+ (* (+ y t) (+ y t)) (+ (* 2.0 2.0) (* (+ y t) 2.0))))
319.0ms
(cbrt (- (pow (+ y t) 3) (pow 2.0 3)))

simplify116.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09761763
141921718
250011718

prune720.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample999.0ms

Algorithm
intervals
Results
566.0ms12518×body80valid
1.0ms3×body640valid
0.0ms2×body320valid
0.0ms2×body160valid