Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms274×body80valid
0.0ms1×body640valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
8.7b
(/ (* (- y z) t) (- a z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
10.0ms
(+ x (/ (* (- y z) t) (- a z)))
12.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series168.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ x (/ (* (- y z) t) (- a z)))
32.0ms
(* (- y z) t)
62.0ms
(/ (* (- y z) t) (- a z))

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune166.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
11.1b
(* (- y z) (/ t (- a z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
25.0ms
(* (- y z) (/ t (- a z)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (* (- y z) (/ t (- a z))))
29.0ms
(/ t (- a z))
66.0ms
(* (- y z) (/ t (- a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0365574
11604535
25002535

prune438.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
3.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
57×*-un-lft-identity
55×cbrt-prod
38×associate-*r*
36×times-frac
31×add-cube-cbrt
30×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
12×distribute-lft-out--
10×swap-sqr associate-/r/ difference-of-squares unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 163
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
20.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
65.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- a z))
149.0ms
(cbrt (- a z))
123.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
99.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify101.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07071741
134871569
250021450

prune481.0ms

Filtered
175 candidates to 122 candidates (69.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ t (cbrt (- a z)))) (cbrt (/ t (cbrt (- a z))))))
5.1b
(cbrt (/ t (cbrt (- a z))))
5.1b
(cbrt (/ t (cbrt (- a z))))
5.1b
(cbrt (/ t (cbrt (- a z))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
135×cbrt-prod
78×times-frac
73×add-sqr-sqrt
71×*-un-lft-identity
51×add-cube-cbrt
29×cbrt-div
25×add-exp-log
17×associate-*l*
15×add-cbrt-cube
14×associate-/r/
11×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×pow1 frac-times flip3-- flip--
7×associate-*r/
5×associate-*l/
4×cbrt-undiv div-exp div-inv add-log-exp
3×pow1/3 pow-prod-down
2×unswap-sqr
1×associate-*r* *-commutative
Counts
4 → 166
Calls
4 calls:
80.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ t (cbrt (- a z)))) (cbrt (/ t (cbrt (- a z))))))
4.0ms
(cbrt (/ t (cbrt (- a z))))
4.0ms
(cbrt (/ t (cbrt (- a z))))
5.0ms
(cbrt (/ t (cbrt (- a z))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (/ t (cbrt (- a z)))) (cbrt (/ t (cbrt (- a z))))))
195.0ms
(cbrt (/ t (cbrt (- a z))))
192.0ms
(cbrt (/ t (cbrt (- a z))))
194.0ms
(cbrt (/ t (cbrt (- a z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06772325
122922126
250022084

prune727.0ms

Filtered
178 candidates to 145 candidates (81.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

83.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02723
12723

end0.0ms

sample516.0ms

Algorithm
intervals
Results
269.0ms8724×body80valid
0.0ms1×body640valid