Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms335×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- 1.0 x) z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
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:
6.0ms
(* (- 1.0 x) z)

series31.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010994
140384
2193584
3500184

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
associate-*r/ pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
5.0ms
(cbrt (* (- 1.0 x) z))
5.0ms
(cbrt (* (- 1.0 x) z))
5.0ms
(cbrt (* (- 1.0 x) z))
7.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (* (- 1.0 x) z))
93.0ms
(cbrt (* (- 1.0 x) z))
93.0ms
(cbrt (* (- 1.0 x) z))
122.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0384909
11250852
25001799

prune302.0ms

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 add-log-exp
times-frac associate-*l* associate-*l/ associate-/r*
expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
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:
4.0ms
(- (* 1.0 1.0) (* x x))
6.0ms
(* (- (* 1.0 1.0) (* x x)) z)
9.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series141.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* 1.0 1.0) (* x x))
44.0ms
(* (- (* 1.0 1.0) (* x x)) z)
59.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0312489
11468422
25001410

prune194.0ms

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

sample442.0ms

Algorithm
intervals
Results
240.0ms10102×body80valid