Details

Time bar (total: 4.8s)

sample26.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify62.0ms

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: 11.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
12.3b
(/ (* (- y z) t) (- a z))

rewrite25.0ms

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:
8.0ms
(+ x (/ (* (- y z) t) (- a z)))
6.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series166.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ x (/ (* (- y z) t) (- a z)))
27.0ms
(* (- y z) t)
64.0ms
(/ (* (- y z) t) (- a z))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326368
11401329
25001329

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
3.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite49.0ms

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:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
33.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- a z))
150.0ms
(cbrt (- a z))
147.0ms
(cbrt (- a z))
96.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06071409
125871256
250031191

prune459.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))
5.4b
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
5.4b
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
5.4b
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
36×times-frac
30×associate-*r*
29×*-un-lft-identity
25×add-exp-log
23×cbrt-div
21×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
17×associate-*l*
10×associate-/r/
8×frac-times prod-exp cbrt-unprod
7×cbrt-undiv flip3-- div-exp flip--
6×pow1 associate-*r/ associate-*l/ unswap-sqr
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 113
Calls
4 calls:
31.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))
19.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
20.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
24.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))

series985.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))
295.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
299.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))
294.0ms
(cbrt (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06691808
128141595
250011494

prune565.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ x (* (- y z) (/ t (- a z))))
8.2b
(* (- y z) (/ t (- a z)))

rewrite30.0ms

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:
10.0ms
(/ t (- a z))
3.0ms
(+ x (* (- y z) (/ t (- a z))))
13.0ms
(* (- y z) (/ t (- a z)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ t (- a z))
77.0ms
(+ x (* (- y z) (/ t (- a z))))
61.0ms
(* (- y z) (/ t (- a z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0365574
11604535
25002535

prune240.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes264.0ms

Accuracy

87.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02618
12618

end0.0ms

sample580.0ms

Algorithm
intervals
Results
287.0ms8716×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid