Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms335×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1243
2403
3643
4843
51023
61283
71773
82723
95083
107363
117543
127563
137563

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- 1.0 x) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
10.0ms
(* (- 1.0 x) z)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (- 1.0 x) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010994
140384
2193584
3500184

prune58.0ms

Filtered
27 candidates to 20 candidates (74.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
4.0ms
(cbrt (* (- 1.0 x) z))
4.0ms
(cbrt (* (- 1.0 x) z))
4.0ms
(cbrt (* (- 1.0 x) z))
12.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (* (- 1.0 x) z))
97.0ms
(cbrt (* (- 1.0 x) z))
97.0ms
(cbrt (* (- 1.0 x) z))
123.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0384909
11250852
25001799

prune291.0ms

Filtered
92 candidates to 75 candidates (81.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
4.5b
(* (- (* 1.0 1.0) (* x x)) z)
5.7b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 69
Calls
3 calls:
3.0ms
(- (* 1.0 1.0) (* x x))
10.0ms
(* (- (* 1.0 1.0) (* x x)) z)
10.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series138.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* 1.0 1.0) (* x x))
43.0ms
(* (- (* 1.0 1.0) (* x x)) z)
57.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0312489
11468422
25001410

prune195.0ms

Filtered
78 candidates to 58 candidates (74.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample434.0ms

Algorithm
intervals
Results
226.0ms10102×body80valid