Details

Time bar (total: 4.6s)

sample22.0ms

Algorithm
intervals
Results
10.0ms278×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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)))
9.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series169.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
66.0ms
(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326368
11401329
25001329

prune166.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
7.5b
(* (- y z) (/ t (- a z)))

rewrite34.0ms

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:
2.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
23.0ms
(* (- y z) (/ t (- a z)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (* (- y z) (/ t (- a z))))
28.0ms
(/ t (- a z))
66.0ms
(* (- y z) (/ t (- a z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0365574
11604535
25002535

prune232.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
3.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
65.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series552.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- a z))
149.0ms
(cbrt (- a z))
151.0ms
(cbrt (- a z))
98.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06071409
125871256
250031191

prune439.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
42×cbrt-div
39×add-cbrt-cube
32×prod-exp cbrt-unprod
24×add-sqr-sqrt
22×cbrt-undiv div-exp
18×*-un-lft-identity
17×associate-*l*
16×associate-/r/
15×cbrt-prod flip3-- flip--
13×associate-*r*
10×add-cube-cbrt times-frac
9×frac-times
6×pow1
5×associate-*r/ associate-*l/
4×distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 121
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
84.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))))

series753.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- a z))
159.0ms
(cbrt (- a z))
153.0ms
(cbrt (- a z))
292.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))))

simplify101.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08122246
137361761
250011685

prune510.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes223.0ms

Accuracy

57.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02620
12620

end0.0ms

sample738.0ms

Algorithm
intervals
Results
468.0ms8725×body80valid
0.0ms2×body160valid
0.0ms1×body640valid