Details

Time bar (total: 3.2s)

sample29.0ms

Algorithm
intervals
Results
19.0ms308×body80valid

simplify13.0ms

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: 1.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.2b
(* (/ x y) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
7×add-exp-log add-cbrt-cube
6×distribute-lft-out
4×pow1 add-log-exp
3×associate-*r* associate-*l/ div-inv
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- sub-div
Counts
2 → 82
Calls
2 calls:
33.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series67.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0332577
11167523
25002507

prune207.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
3.2b
(* (/ 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)

series73.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
21.0ms
(* (/ x y) z)

simplify56.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0191242
1672210
22619206
35001199

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (/ x y) z)
12.1b
(cbrt (* (/ x y) z))
12.1b
(cbrt (* (/ x y) z))
12.1b
(cbrt (* (/ x y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
8.0ms
(* (/ x y) z)
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))
3.0ms
(cbrt (* (/ x y) z))

series268.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ x y) z)
82.0ms
(cbrt (* (/ x y) z))
81.0ms
(cbrt (* (/ x y) z))
85.0ms
(cbrt (* (/ x y) z))

simplify58.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0222383
1730335
22840307
35001303

prune242.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (/ x (cbrt y)) z)
3.3b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 123
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
14.0ms
(* (/ x (cbrt y)) z)
37.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series496.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt y)
171.0ms
(cbrt y)
112.0ms
(* (/ x (cbrt y)) z)
44.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0484877
12167680
25001592

prune334.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

5% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch46.0ms

Steps
ItersRangePoint
8
6.553833862084782e-125
3.074819892853218e-122
5.51789875539709e-123

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample816.0ms

Algorithm
intervals
Results
603.0ms10081×body80valid