Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms342×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
6.3b
(/ (* (- y x) z) t)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- 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* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
22.0ms
(* (- y x) z)
13.0ms
(+ x (/ (* (- y x) z) t))
18.0ms
(/ (* (- y x) z) t)

series99.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (- y x) z)
34.0ms
(+ x (/ (* (- y x) z) t))
39.0ms
(/ (* (- y x) z) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0283314
11117267
25001267

prune142.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.2b
(/ (- y x) (/ t z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
41.0ms
(+ x (/ (- y x) (/ t z)))
20.0ms
(/ (- y x) (/ t z))

series72.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
39.0ms
(/ (- y x) (/ t z))

simplify59.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0609959
12199914
25001913

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.3b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
60.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt t)
169.0ms
(cbrt t)
179.0ms
(cbrt t)
68.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0455821
12233666
25002631

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (- y x) (/ t z))))
6.2b
(/ (- y x) (/ t z))
6.2b
(/ (- y x) (/ t z))
6.2b
(/ (- y x) (/ t z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
357×times-frac
259×*-un-lft-identity
257×add-sqr-sqrt
173×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
39×associate-/r*
21×div-inv
19×add-exp-log add-cbrt-cube
15×associate-/l*
9×cbrt-undiv div-exp
6×associate-/l/
4×pow1 cbrt-prod add-log-exp
3×flip3-- frac-2neg div-sub clear-num associate-/r/ flip--
2×cbrt-div
1×flip3-+ pow1/3 flip-+ distribute-lft-out
Counts
4 → 317
Calls
4 calls:
35.0ms
(cbrt (+ x (/ (- y x) (/ t z))))
23.0ms
(/ (- y x) (/ t z))
21.0ms
(/ (- y x) (/ t z))
21.0ms
(/ (- y x) (/ t z))

series309.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (+ x (/ (- y x) (/ t z))))
43.0ms
(/ (- y x) (/ t z))
39.0ms
(/ (- y x) (/ t z))
44.0ms
(/ (- y x) (/ t z))

simplify75.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06282704
122042603
250012596

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

-31.6% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 1.9b

bsearch91.0ms

Steps
ItersRangePoint
10
3.3499961860968546e-228
1.6411377633301706e-217
1.625406329571912e-217
9
-9.263934665448618e+36
-7.240358383921074e+28
-2.4091701904877666e+30

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03419
13419

end0.0ms

sample632.0ms

Algorithm
intervals
Results
260.0ms10624×body80valid