Details

Time bar (total: 5.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms359×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.3b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
53.0ms
(/ (- (* x y) (* z t)) a)

simplify90.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune162.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.4b
(/ (* x y) a)
6.5b
(/ (* t z) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-exp-log add-cbrt-cube
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 121
Calls
3 calls:
13.0ms
(- (/ (* x y) a) (/ (* t z) a))
3.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series112.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (/ (* x y) a) (/ (* t z) a))
19.0ms
(/ (* x y) a)
24.0ms
(/ (* t z) a)

simplify66.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04721466
119691032
250011024

prune246.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
1.5b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
2.4b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
3.9b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
119×*-un-lft-identity
103×add-sqr-sqrt
95×add-cube-cbrt
78×associate-*r*
66×cbrt-prod
41×distribute-lft-neg-in distribute-rgt-out
34×add-exp-log
29×associate-*l*
25×add-cbrt-cube
23×distribute-lft-out
22×distribute-rgt-neg-in
12×prod-exp cbrt-unprod
9×cbrt-undiv div-exp
8×pow1 unswap-sqr
7×div-inv
4×expm1-log1p-u frac-times neg-mul-1 distribute-lft1-in associate-*r/ log1p-expm1-u add-log-exp
2×flip3-+ pow-prod-down associate-*l/ frac-add *-commutative flip-+ distribute-neg-frac
1×distribute-rgt-in distribute-lft-in pow1/3 fma-udef
Counts
4 → 190
Calls
4 calls:
1.0ms
(cbrt a)
274.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
22.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt a)
2.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
589.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
51.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

simplify63.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
08681954
150011415

prune942.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
12.7b
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))
12.7b
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))
12.7b
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*l*
19×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
14×cbrt-prod
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*r*
6×pow1 unswap-sqr
4×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 103
Calls
4 calls:
23.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
11.0ms
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))
11.0ms
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))
16.0ms
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))
103.0ms
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))
103.0ms
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))
105.0ms
(cbrt (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04091101
11635938
25001857

prune588.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes578.0ms

Accuracy

88.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 6.9b

bsearch4.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04933
15333
25333

end0.0ms

sample648.0ms

Algorithm
intervals
Results
322.0ms11186×body80valid