Details

Time bar (total: 3.3s)

sample25.0ms

Algorithm
intervals
Results
14.0ms324×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (60.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- 1 y) (/ x z) y)

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(fma (- 1 y) (/ x z) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
10.4b
(/ (+ x (* y (- z x))) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×sub-neg
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
6.0ms
(+ x (* y (- z x)))
11.0ms
(* y (- z x))
9.0ms
(/ (+ x (* y (- z x))) z)

series28.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))
12.0ms
(/ (+ x (* y (- z x))) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0379842
11526592
25002585

prune574.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
10.6b
(* (+ x (* y (- z x))) (/ 1 z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
18×associate-*r*
14×add-exp-log
11×times-frac
10×add-cbrt-cube
7×pow1
6×associate-*l*
5×prod-exp add-log-exp
4×sub-neg unswap-sqr
3×expm1-log1p-u fma-def flip3-+ associate-*r/ cbrt-unprod flip-+ log1p-expm1-u
2×frac-times div-exp pow-prod-down associate-*l/ *-commutative
1×cbrt-undiv +-commutative rec-exp flip3-- 1-exp sum-log un-div-inv flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 126
Calls
3 calls:
6.0ms
(+ x (* y (- z x)))
11.0ms
(* y (- z x))
14.0ms
(* (+ x (* y (- z x))) (/ 1 z))

series28.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))
12.0ms
(* (+ x (* y (- z x))) (/ 1 z))

simplify70.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0474924
12168635
25001620

prune628.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
10.4b
(/ (+ x (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z x)))) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 70
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(/ (+ x (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z x)))) z)

series50.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt y)
10.0ms
(cbrt y)
11.0ms
(cbrt y)
17.0ms
(/ (+ x (* (* (cbrt y) (cbrt y)) (* (cbrt y) (- z x)))) z)

simplify141.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0197605
1696549
23680512
35001506

prune614.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes155.0ms

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
093
193

end0.0ms

sample656.0ms

Algorithm
intervals
Results
443.0ms10142×body80valid