Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms343×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 6.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.4b
(/ (* (- y x) z) t)

rewrite24.0ms

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:
4.0ms
(+ x (/ (* (- y x) z) t))
12.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series103.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ (* (- y x) z) t))
27.0ms
(* (- y x) z)
40.0ms
(/ (* (- y x) z) t)

simplify34.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune121.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.0b
(* (- y x) (/ z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
2.0ms
(+ x (* (- y x) (/ z t)))
14.0ms
(* (- y x) (/ z t))

series75.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (- y x) (/ z t)))
39.0ms
(* (- y x) (/ z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296310
11245287
25001275

prune108.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite44.0ms

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:
28.0ms
(+ x (/ (- y x) (/ t z)))
10.0ms
(/ (- y x) (/ t z))

series75.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (/ (- y x) (/ t z)))
40.0ms
(/ (- y x) (/ t z))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0609959
12199914
25001913

prune266.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (- y x) (/ t z))
7.3b
(cbrt (/ (- y x) (/ t z)))
7.3b
(cbrt (/ (- y x) (/ t z)))
7.3b
(cbrt (/ (- y x) (/ t z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
313×add-sqr-sqrt *-un-lft-identity
210×cbrt-prod
207×add-cube-cbrt
53×distribute-lft-out-- difference-of-squares
25×div-inv
13×associate-/r*
9×add-exp-log add-cbrt-cube
5×associate-/l*
4×pow1 associate-/r/ add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp
2×associate-/l/
1×flip3-- frac-2neg div-sub clear-num flip--
Counts
4 → 338
Calls
4 calls:
10.0ms
(/ (- y x) (/ t z))
7.0ms
(cbrt (/ (- y x) (/ t z)))
7.0ms
(cbrt (/ (- y x) (/ t z)))
7.0ms
(cbrt (/ (- y x) (/ t z)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (- y x) (/ t z))
133.0ms
(cbrt (/ (- y x) (/ t z)))
140.0ms
(cbrt (/ (- y x) (/ t z)))
139.0ms
(cbrt (/ (- y x) (/ t z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
07703809
125953745
250013724

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

9.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.2b

bsearch81.0ms

Steps
ItersRangePoint
8
1.1641453856177518e+203
5.037961904163681e+206
2.11625050668119e+206
10
1.5611629972504725e-88
4.9836518071778194e-77
8.722376555020404e-83

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample561.0ms

Algorithm
intervals
Results
294.0ms10701×body80valid