Details

Time bar (total: 7.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1374
2604
31044
41744
52374
62664
73124
83754
95074
106664
1111174
1213414
1315134
1415354
1515354

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
2.3b
(* y (/ (- z t) (- z a)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
15.0ms
(/ (- z t) (- z a))
24.0ms
(* y (/ (- z t) (- z a)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- z t) (- z a))
62.0ms
(* y (/ (- z t) (- z a)))

simplify43.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0358664
11410623
25002623

prune441.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.3b
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- z a) (cbrt (- z t)))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
70×add-sqr-sqrt
60×*-un-lft-identity
51×associate-*r*
41×cbrt-prod
28×add-cube-cbrt
22×add-exp-log
16×add-cbrt-cube distribute-lft-out-- difference-of-squares
8×cbrt-div
7×prod-exp cbrt-unprod
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp unswap-sqr
3×pow1/3 associate-*l* associate-/r/
2×div-inv
1×associate-*r/ pow-prod-down *-commutative
Counts
4 → 131
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
96.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- z a) (cbrt (- z t)))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- z t))
143.0ms
(cbrt (- z t))
147.0ms
(cbrt (- z t))
67.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (/ (- z a) (cbrt (- z t)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06001304
127441192
250011153

prune447.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
5.9b
(* (* y (/ (cbrt (- z t)) (- z a))) (/ (cbrt (- z t)) (/ 1 (cbrt (- z t)))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
432×times-frac
302×add-sqr-sqrt *-un-lft-identity
285×cbrt-prod
245×associate-*r*
188×add-cube-cbrt
64×add-exp-log
57×distribute-lft-out-- difference-of-squares
28×add-cbrt-cube
25×prod-exp
23×div-exp
22×cbrt-div
17×associate-/r/
15×cbrt-unprod
12×cbrt-undiv
11×flip3-- flip--
9×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp pow1/3 1-exp associate-*r/ pow-prod-down
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
4 → 336
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
104.0ms
(* (* y (/ (cbrt (- z t)) (- z a))) (/ (cbrt (- z t)) (/ 1 (cbrt (- z t)))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (- z t))
163.0ms
(cbrt (- z t))
143.0ms
(cbrt (- z t))
60.0ms
(* (* y (/ (cbrt (- z t)) (- z a))) (/ (cbrt (- z t)) (/ 1 (cbrt (- z t)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
348 → 348
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018464567
150014236

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
5.9b
(* (* y (/ (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (- z a))) (/ (cbrt (- z t)) (/ 1 (cbrt (- z t)))))

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
432×times-frac
302×add-sqr-sqrt *-un-lft-identity
285×cbrt-prod
245×associate-*r*
188×add-cube-cbrt
129×add-exp-log
60×prod-exp
57×distribute-lft-out-- difference-of-squares
52×add-cbrt-cube
45×div-exp
36×cbrt-unprod
24×cbrt-undiv
22×cbrt-div
17×associate-/r/
11×flip3-- flip--
9×pow1 div-inv
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
4 → 352
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
438.0ms
(* (* y (/ (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (- z a))) (/ (cbrt (- z t)) (/ 1 (cbrt (- z t)))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
147.0ms
(cbrt (- z t))
68.0ms
(* (* y (/ (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (- z a))) (/ (cbrt (- z t)) (/ 1 (cbrt (- z t)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
020137789
150017075

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample522.0ms

Algorithm
intervals
Results
270.0ms8709×body80valid
0.0ms1×body640valid
0.0ms1×body160valid