Details

Time bar (total: 6.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.3b
(* y (/ (- z t) (- a t)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- a t))))
11.0ms
(/ (- z t) (- a t))
27.0ms
(* y (/ (- z t) (- a t)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (* y (/ (- z t) (- a t))))
45.0ms
(/ (- z t) (- a t))
65.0ms
(* y (/ (- z t) (- a t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0421747
11657704
25001704

prune280.0ms

Filtered
122 candidates to 83 candidates (68.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
18×add-sqr-sqrt cbrt-div
15×cbrt-prod *-un-lft-identity
14×add-cbrt-cube
13×associate-*r*
9×add-cube-cbrt flip3-- prod-exp flip-- cbrt-unprod
8×associate-/r/
6×pow1
4×cbrt-undiv frac-times div-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
2×times-frac associate-*l/ unswap-sqr
1×pow-prod-down *-commutative div-inv
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
49.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- z t))
149.0ms
(cbrt (- z t))
146.0ms
(cbrt (- z t))
160.0ms
(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0516945
11949822
25001786

prune359.0ms

Filtered
95 candidates to 74 candidates (77.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.3b
(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
4.5b
(cbrt (/ (- z t) (- a t)))
4.5b
(cbrt (/ (- z t) (- a t)))
4.5b
(cbrt (/ (- z t) (- a t)))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
10×associate-*r/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times associate-*l/
4×add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- div-inv
1×associate-*r* *-commutative
Counts
4 → 148
Calls
4 calls:
210.0ms
(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
6.0ms
(cbrt (/ (- z t) (- a t)))
6.0ms
(cbrt (/ (- z t) (- a t)))
6.0ms
(cbrt (/ (- z t) (- a t)))

series959.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
292.0ms
(cbrt (/ (- z t) (- a t)))
293.0ms
(cbrt (/ (- z t) (- a t)))
308.0ms
(cbrt (/ (- z t) (- a t)))

simplify129.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
04411809
111481679
244101598
350011551

prune513.0ms

Filtered
160 candidates to 113 candidates (70.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (/ (- z t) (- a t)))
4.5b
(cbrt (/ (- z t) (- a t)))
4.5b
(cbrt (/ (- z t) (- a t)))
4.5b
(cbrt (/ (- z t) (- a t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt *-un-lft-identity
124×cbrt-prod
100×times-frac
48×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
8×associate-/r/
4×pow1 add-exp-log cbrt-div flip3-- pow1/3 add-cbrt-cube flip-- div-inv add-log-exp
Counts
4 → 160
Calls
4 calls:
6.0ms
(cbrt (/ (- z t) (- a t)))
6.0ms
(cbrt (/ (- z t) (- a t)))
9.0ms
(cbrt (/ (- z t) (- a t)))
6.0ms
(cbrt (/ (- z t) (- a t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt (/ (- z t) (- a t)))
301.0ms
(cbrt (/ (- z t) (- a t)))
306.0ms
(cbrt (/ (- z t) (- a t)))
301.0ms
(cbrt (/ (- z t) (- a t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02951772
16391736
221881728
350011688

prune707.0ms

Filtered
172 candidates to 124 candidates (72.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample529.0ms

Algorithm
intervals
Results
271.0ms8741×body80valid
0.0ms2×body640valid