Details

Time bar (total: 4.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms270×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.6b
(/ x (* (- y z) (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
20.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
116.0ms
(/ x (* (- y z) (- t z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0384705
11834535
25002528

prune173.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
46.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series663.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
173.0ms
(cbrt x)
176.0ms
(cbrt x)
139.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05391075
12688884
25001825

prune351.0ms

Filtered
130 candidates to 100 candidates (76.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
18×associate-*l*
12×cbrt-prod cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 frac-times
8×associate-/r/
7×associate-*r/
6×flip3-- times-frac flip--
5×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 107
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
80.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
173.0ms
(cbrt x)
176.0ms
(cbrt x)
143.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04821509
122241060
25002830

prune304.0ms

Filtered
119 candidates to 78 candidates (65.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z))))
0.6b
(cbrt (cbrt x))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
54×add-cbrt-cube
52×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
18×cbrt-prod associate-*l*
12×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 frac-times
8×associate-/r/
7×associate-*r/
6×flip3-- times-frac flip--
5×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 122
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
92.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z))))
1.0ms
(cbrt (cbrt x))

series743.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
178.0ms
(cbrt x)
145.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z))))
242.0ms
(cbrt (cbrt x))

simplify95.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06372539
131331810
250021707

prune389.0ms

Filtered
134 candidates to 85 candidates (63.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample421.0ms

Algorithm
intervals
Results
211.0ms8419×body80valid