Details

Time bar (total: 8.6s)

sample32.0ms

Algorithm
intervals
Results
16.0ms278×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
1.1b
(* y (/ (- z t) (- a t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- a t))))
11.0ms
(/ (- z t) (- a t))
25.0ms
(* y (/ (- z t) (- a t)))

series62.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (* y (/ (- z t) (- a t))))
10.0ms
(/ (- z t) (- a t))
19.0ms
(* y (/ (- z t) (- a t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0421747
11657704
25001704

prune900.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))
2.0ms
(cbrt (- a t))

series105.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- z t))
25.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
26.0ms
(cbrt (- a t))

simplify167.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (161.0ms)

IterNodesCost
0229428
1487408
21319396
34622372
45001364

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.1b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
15×cbrt-prod flip3-- flip--
14×add-sqr-sqrt *-un-lft-identity
13×pow1
12×associate-*l/
11×prod-exp cbrt-unprod
8×add-cube-cbrt
6×pow-prod-down
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
102.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
25.0ms
(cbrt (- z t))
28.0ms
(cbrt (- z t))
19.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0444925
11409785
25001730

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
5.8b
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))
5.8b
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))
5.8b
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite399.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-div
88×associate-*r/
64×frac-times
48×flip3-- associate-*l/ flip--
22×add-exp-log
16×add-cbrt-cube
13×pow1
11×prod-exp cbrt-unprod
6×pow-prod-down
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 120
Calls
4 calls:
102.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
97.0ms
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))
96.0ms
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))
96.0ms
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
66.0ms
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))
69.0ms
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))
69.0ms
(cbrt (* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04852251
115272051
250012027

prune2.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1125

end0.0ms

sample805.0ms

Algorithm
intervals
Results
533.0ms8778×body80valid
0.0ms1×body640valid