Details

Time bar (total: 3.1s)

sample21.0ms

Algorithm
intervals
Results
10.0ms318×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
1.9b
(* (/ x y) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
36.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series96.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0399743
11422683
25001668

prune292.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
1.9b
(* (/ x y) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
0.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
8.0ms
(* (/ x y) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
21.0ms
(* (/ x y) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0191242
1672210
22619206
35001199

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
1.6b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×pow1 add-sqr-sqrt
17×prod-exp cbrt-unprod
15×add-cube-cbrt *-un-lft-identity
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 94
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
40.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
18.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt z)
178.0ms
(cbrt z)
49.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
116.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0344652
11553478
25002431

prune291.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.5b
(* x (/ z y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*r*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
36.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0ms
(* x (/ z y))

series94.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
20.0ms
(* x (/ z y))

simplify48.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0409748
11644688
25001677

prune277.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

71.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch66.0ms

Steps
ItersRangePoint
8
7.776433960793369e-144
1.2833011113539485e-140
9.360375788098009e-141
7
-1.1168933957703842e+17
-1012818448386099.9
-7.192134480468753e+16

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03718
14118
24118

end0.0ms

sample663.0ms

Algorithm
intervals
Results
447.0ms10055×body80valid