Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify49.0ms

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: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.2b
(* y (/ (- z t) (- a t)))

rewrite44.0ms

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))))
13.0ms
(/ (- z t) (- a t))
24.0ms
(* y (/ (- z t) (- a t)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (* y (/ (- z t) (- a t))))
48.0ms
(/ (- z t) (- a t))
61.0ms
(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune256.0ms

Filtered
122 candidates to 83 candidates (68.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.2b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
15×cbrt-prod flip3-- flip--
14×add-sqr-sqrt *-un-lft-identity
13×pow1
12×associate-*l/
11×prod-exp cbrt-unprod
8×add-cube-cbrt
6×pow-prod-down
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
103.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- z t))
142.0ms
(cbrt (- z t))
140.0ms
(cbrt (- z t))
64.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0444925
11409785
25001730

prune312.0ms

Filtered
99 candidates to 74 candidates (74.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- z t)))
0.6b
(cbrt (cbrt (- z t)))
0.6b
(cbrt (cbrt (- z t)))
2.2b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (- a t))))

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
39×cbrt-prod
36×cbrt-div
30×add-cbrt-cube
27×prod-exp cbrt-unprod
22×associate-*r/
17×add-sqr-sqrt *-un-lft-identity
16×frac-times
15×flip3-- flip--
13×pow1
12×associate-*l/
11×add-cube-cbrt
6×cbrt-undiv div-exp pow-prod-down
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(cbrt (cbrt (- z t)))
2.0ms
(cbrt (cbrt (- z t)))
3.0ms
(cbrt (cbrt (- z t)))
340.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (- a t))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (cbrt (- z t)))
142.0ms
(cbrt (cbrt (- z t)))
138.0ms
(cbrt (cbrt (- z t)))
67.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t)))) (- a t))))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06151782
123371228
250011150

prune385.0ms

Filtered
116 candidates to 83 candidates (71.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- a t)))
9.1b
(/ (* y (- z t)) (- a t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
4×add-cube-cbrt add-log-exp
2×pow1 cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 41
Calls
2 calls:
10.0ms
(+ x (/ (* y (- z t)) (- a t)))
9.0ms
(/ (* y (- z t)) (- a t))

series140.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(+ x (/ (* y (- z t)) (- a t)))
64.0ms
(/ (* y (- z t)) (- a t))

simplify112.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0276283
11054254
24980254
35002254

prune105.0ms

Filtered
47 candidates to 34 candidates (72.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample521.0ms

Algorithm
intervals
Results
270.0ms8722×body80valid
0.0ms2×body1280valid