Details

Time bar (total: 1.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms328×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b
(+ x (* y 0.75))
0.1b
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt add-log-exp
6×fma-def
3×pow1 expm1-log1p-u times-frac associate-/r* log1p-expm1-u
2×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp sum-log flip-+ associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv distribute-lft-out associate-/l*
Counts
3 → 58
Calls
3 calls:
11.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
2.0ms
(+ x (* y 0.75))
23.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series87.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
24.0ms
(+ x (* y 0.75))
36.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0333411
11347350
25002340

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 4.0 (* 4.0 (/ z y)))
0.0b
(* 4.0 (/ z y))
0.0b
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*r*
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- fma-udef div-inv
Counts
3 → 64
Calls
3 calls:
2.0ms
(- 4.0 (* 4.0 (/ z y)))
7.0ms
(* 4.0 (/ z y))
0.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

series75.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- 4.0 (* 4.0 (/ z y)))
18.0ms
(* 4.0 (/ z y))
30.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0256352
11131317
25001316

prune167.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
0.1b
(sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))))
0.1b
(sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))))
0.2b
(* (sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))) (sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
1.0ms
(sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))))
1.0ms
(sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))))
7.0ms
(* (sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))) (sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))))

series166.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
52.0ms
(sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))))
58.0ms
(sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))))
28.0ms
(* (sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))) (sqrt (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))))

simplify194.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (184.0ms)

IterNodesCost
0160822
1626720
24501684
35001673

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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
0105
1105

end0.0ms

sample520.0ms

Algorithm
intervals
Results
312.0ms10113×body80valid