Details

Time bar (total: 5.7s)

sample27.0ms

Algorithm
intervals
Results
9.0ms383×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1354
2514
3714
4854
5894
6894

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.4b
(/ (- (* x y) (* z t)) a)

rewrite29.0ms

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:
8.0ms
(- (* x y) (* z t))
19.0ms
(/ (- (* x y) (* z t)) a)

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (* x y) (* z t))
49.0ms
(/ (- (* x y) (* z t)) a)

simplify96.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0218336
1769309
22931308
35001307

prune163.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
6.2b
(/ (* t z) a)
6.2b
(/ (* x y) a)

rewrite48.0ms

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:
25.0ms
(- (/ (* x y) a) (/ (* t z) a))
9.0ms
(/ (* t z) a)
9.0ms
(/ (* x y) a)

series102.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (/ (* x y) a) (/ (* t z) a))
19.0ms
(/ (* t z) a)
19.0ms
(/ (* x y) a)

simplify68.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04721466
119691032
250011024

prune264.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
1.9b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
2.2b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
4.9b
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

rewrite366.0ms

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)
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
315.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
39.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

series723.0ms

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt a)
330.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))))
2.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
54.0ms
(* (/ z (cbrt a)) (/ t (* (cbrt a) (cbrt a))))

simplify55.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
08681954
150011415

prune867.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
1.9b
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* z (/ t a))))
2.2b
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
6.1b
(* z (/ t a))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
112×*-un-lft-identity
88×add-cube-cbrt
85×add-sqr-sqrt
84×associate-*r*
55×cbrt-prod
41×distribute-lft-neg-in distribute-rgt-out
23×distribute-lft-out
22×distribute-rgt-neg-in
18×add-exp-log
16×add-cbrt-cube
10×associate-*l*
8×pow1
6×prod-exp cbrt-unprod div-inv
4×expm1-log1p-u neg-mul-1 distribute-lft1-in associate-*r/ log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv frac-times div-exp
2×flip3-+ pow-prod-down frac-add *-commutative flip-+ distribute-neg-frac
1×distribute-rgt-in distribute-lft-in pow1/3 associate-*l/ fma-udef
Counts
4 → 163
Calls
4 calls:
1.0ms
(cbrt a)
0.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* z (/ t a))))
310.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
13.0ms
(* z (/ t a))

series484.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt a)
276.0ms
(fma (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)) (- (* z (/ t a))))
2.0ms
(* (/ t (* (cbrt a) (cbrt a))) (+ (- (/ z (cbrt a))) (/ z (cbrt a))))
19.0ms
(* z (/ t a))

simplify127.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
08191464
145651030
250021019

prune703.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes424.0ms

Accuracy

90.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04933
15333
25333

end0.0ms

sample700.0ms

Algorithm
intervals
Results
279.0ms11137×body80valid