Details

Time bar (total: 5.3s)

sample21.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite31.0ms

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)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y z) (- t z))
135.0ms
(/ x (* (- y z) (- t z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0384705
11834535
25002528

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite47.0ms

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)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
41.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series749.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt x)
199.0ms
(cbrt x)
195.0ms
(cbrt x)
161.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
05391075
12688884
25001825

prune424.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
2.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
20.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

series659.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (- y z))
173.0ms
(cbrt (- y z))
177.0ms
(cbrt (- y z))
140.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

simplify196.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0270790
1957753
24632700
35001700

prune456.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
18×add-sqr-sqrt
15×prod-exp cbrt-unprod
14×*-un-lft-identity
12×cbrt-undiv div-exp
11×times-frac associate-*r* associate-*l*
10×add-cube-cbrt
7×cbrt-prod
6×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 93
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(cbrt (* (cbrt x) (cbrt x)))
42.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z)))

series877.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt x)
209.0ms
(cbrt x)
298.0ms
(cbrt (* (cbrt x) (cbrt x)))
162.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- t z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
04931263
12460974
25002939

prune378.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

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
01616
11616

end0.0ms

sample434.0ms

Algorithm
intervals
Results
225.0ms8465×body80valid