Details

Time bar (total: 8.1s)

sample33.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
7.0ms266×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b
(fma (log y) (+ y 0.5) z)
0.1b
(- (fma (log y) (+ y 0.5) z) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
35×add-sqr-sqrt
33×prod-diff
25×add-cube-cbrt
12×associate--r+
10×add-log-exp
7×distribute-lft-out--
6×fma-neg
5×difference-of-squares
4×diff-log
3×pow1 add-exp-log expm1-log1p-u sub-neg add-cbrt-cube fma-udef log1p-expm1-u
2×flip3-- associate--l+ flip--
1×associate--r-
Counts
3 → 88
Calls
3 calls:
7.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
1.0ms
(fma (log y) (+ y 0.5) z)
4.0ms
(- (fma (log y) (+ y 0.5) z) y)

series133.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (- (fma (log y) (+ y 0.5) z) y))
37.0ms
(fma (log y) (+ y 0.5) z)
47.0ms
(- (fma (log y) (+ y 0.5) z) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04041160
11496822
25003746

prune225.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite25.0ms

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:
12.0ms
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series3.7s

Counts
4 → 12
Calls
4 calls:
2.8s
(* (cbrt (- (fma (log y) (+ y 0.5) z) y)) (cbrt (- (fma (log y) (+ y 0.5) z) y)))
296.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
288.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
288.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify117.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09532708
146532609
250012606

prune487.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))
0.6b
(cbrt (- (fma (log y) (+ y 0.5) z) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
4.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
3.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

series1.2s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
294.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
290.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))
297.0ms
(cbrt (- (fma (log y) (+ y 0.5) z) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03351484
113251428
250021328

prune438.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (/ 1 y))
0.0b
(+ (fma (log (/ 1 y)) y y) (- x z))
0.3b
(fma (log (/ 1 y)) y y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
13×log-prod
11×associate-+r+
9×times-frac prod-diff
8×add-exp-log add-log-exp
5×pow1
4×rem-log-exp
3×expm1-log1p-u fma-def log-pow add-cbrt-cube log1p-expm1-u
2×div-exp sum-log fma-udef distribute-lft-out
1×+-commutative associate-+r- sub-neg log-div rec-exp associate-+l+ pow-flip flip3-+ diff-log 1-exp log-rec flip-+ div-inv distribute-lft-out-- inv-pow
Counts
3 → 73
Calls
3 calls:
3.0ms
(log (/ 1 y))
7.0ms
(+ (fma (log (/ 1 y)) y y) (- x z))
1.0ms
(fma (log (/ 1 y)) y y)

series349.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(log (/ 1 y))
44.0ms
(+ (fma (log (/ 1 y)) y y) (- x z))
187.0ms
(fma (log (/ 1 y)) y y)

simplify32.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0326453
11036384
25002356

prune196.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample852.0ms

Algorithm
intervals
Results
286.0ms8027×body80valid
227.0ms7980×body80nan
0.0ms2×body640valid