Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
10.0ms344×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
97.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t (- 1.0 z))
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
48.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0387632
11453595
25001593

prune226.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
4.3b
(* x (/ y z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
37.0ms
(* x (- (/ t (- 1.0 z))))
7.0ms
(* x (/ y z))

series178.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ t (- 1.0 z))
64.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
60.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(* x (/ y z))

simplify83.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0674871
13174809
25001808

prune391.0ms

Filtered
159 candidates to 119 candidates (74.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
2.0b
(* x (- (/ t (- 1.0 z))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 115
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
21.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
36.0ms
(* x (- (/ t (- 1.0 z))))

series480.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
172.0ms
(cbrt y)
77.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
58.0ms
(* x (- (/ t (- 1.0 z))))

simplify76.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0634798
13020680
25001651

prune429.0ms

Filtered
127 candidates to 96 candidates (75.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
2.6b
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
34×*-un-lft-identity
16×add-cube-cbrt cbrt-div
13×pow1
11×associate-*r* associate-*l*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3 associate-*r/ distribute-lft-out--
6×add-cbrt-cube difference-of-squares
5×frac-times unswap-sqr
4×add-log-exp
3×pow-prod-down associate-*l/ frac-sub
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus
Counts
4 → 113
Calls
4 calls:
2.0ms
(cbrt (- 1.0 z))
2.0ms
(cbrt (- 1.0 z))
23.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
27.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (- 1.0 z))
98.0ms
(cbrt (- 1.0 z))
106.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
46.0ms
(* x (- (/ y z) (* (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (/ t (cbrt (- 1.0 z))))))

simplify68.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05031197
120051105
250011023

prune364.0ms

Filtered
125 candidates to 89 candidates (71.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes286.0ms

Accuracy

0% (1.4b remaining)

Error of 1.9b against oracle of 0.5b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02617
13017
23117
33117

end0.0ms

sample557.0ms

Algorithm
intervals
Results
304.0ms10174×body80valid