Details

Time bar (total: 1.7s)

sample27.0ms

Algorithm
intervals
Results
17.0ms319×body80valid

simplify37.0ms

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

prune5.0ms

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)

rewrite11.0ms

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:
10.0ms
(* (- 1.0 x) z)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (- 1.0 x) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
010994
140384
2193584
3500184

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
3.1b
(* (- (pow 1.0 3) (pow x 3)) z)
11.9b
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×associate-*l*
17×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
10×add-exp-log add-cbrt-cube
sqr-pow
add-cube-cbrt
pow1 distribute-lft-out-- add-log-exp
associate-*l/
expm1-log1p-u times-frac associate-*r* associate-/r* log1p-expm1-u
cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
difference-cubes +-commutative distribute-rgt-out fma-def frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 86
Calls
3 calls:
3.0ms
(+ (* x x) (* 1.0 x))
60.0ms
(* (- (pow 1.0 3) (pow x 3)) z)
38.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series173.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* x x) (* 1.0 x))
44.0ms
(* (- (pow 1.0 3) (pow x 3)) z)
77.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0453700
12216618
25003601

prune295.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- z (* x z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt fma-neg prod-diff add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- distribute-rgt-out-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 21
Calls
1 calls:
3.0ms
(- z (* x z))

series30.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(- z (* x z))

simplify47.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
09497
128885
2138284
3500170

prune54.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample710.0ms

Algorithm
intervals
Results
492.0ms10195×body80valid