Details

Time bar (total: 5.9s)

sample31.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
7.0ms251×body80nan

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
20×add-log-exp
18×prod-diff
12×log-prod
7×pow1 fma-neg distribute-lft-out
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
5×associate-+l+
4×expm1-log1p-u associate-*r* associate-*l* sum-log log1p-expm1-u
3×sub-neg fma-def
2×associate-+l- flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 117
Calls
4 calls:
68.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms
(* (+ y 0.5) (log y))

series385.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
37.0ms
(- x (* (+ y 0.5) (log y)))
44.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
247.0ms
(* (+ y 0.5) (log y))

simplify59.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05391002
12085847
25002829

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
14×add-sqr-sqrt
12×add-cube-cbrt prod-diff
10×add-log-exp
6×distribute-lft-out
4×fma-neg
3×pow1 add-exp-log expm1-log1p-u fma-def add-cbrt-cube log1p-expm1-u
2×diff-log sum-log fma-udef distribute-lft-out--
1×+-commutative sub-neg associate-+r+ flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
3 → 63
Calls
3 calls:
22.0ms
(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
3.0ms
(+ x (fma (- (+ y 0.5)) (log y) y))
0.0ms
(fma (- (+ y 0.5)) (log y) y)

series378.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
38.0ms
(+ x (fma (- (+ y 0.5)) (log y) y))
288.0ms
(fma (- (+ y 0.5)) (log y) y)

simplify35.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0305659
1941532
25001525

prune183.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* frac-add log1p-expm1-u
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative fma-def associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 117
Calls
4 calls:
18.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
18.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.8s

Counts
4 → 12
Calls
4 calls:
475.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
784.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
174.0ms
(cbrt y)
363.0ms
(cbrt y)

simplify78.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06811127
12712983
25001947

prune454.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
0.5b
(cbrt (* (+ y 0.5) (log y)))
0.5b
(cbrt (* (+ y 0.5) (log y)))
0.5b
(cbrt (* (+ y 0.5) (log y)))

rewrite26.0ms

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:
13.0ms
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
4.0ms
(cbrt (* (+ y 0.5) (log y)))
4.0ms
(cbrt (* (+ y 0.5) (log y)))
4.0ms
(cbrt (* (+ y 0.5) (log y)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
89.0ms
(cbrt (* (+ y 0.5) (log y)))
88.0ms
(cbrt (* (+ y 0.5) (log y)))
82.0ms
(cbrt (* (+ y 0.5) (log y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06821567
131591489
250031455

prune375.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1166
2166

end0.0ms

sample884.0ms

Algorithm
intervals
Results
293.0ms8036×body80valid
228.0ms8155×body80nan