Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify101.0ms

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: 8.3b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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))
6.0ms
(* (- y x) z)
7.0ms
(/ (* (- y x) z) t)

series101.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ (* (- y x) z) t))
27.0ms
(* (- y x) z)
42.0ms
(/ (* (- y x) z) t)

simplify33.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune130.0ms

Pruning

5 alts after pruning (5 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)))
7.4b
(/ (- y x) (/ t z))

rewrite31.0ms

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:
18.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0609959
12199914
25001913

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.9b
(* (- y x) (/ z t))

rewrite16.0ms

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:
3.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

series76.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (- y x) (/ z t)))
40.0ms
(* (- y x) (/ z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0296310
11245287
25001275

prune110.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
4.3b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) t) (* z (cbrt (- y x))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-div
9×pow1 add-cube-cbrt
7×associate-*l*
6×associate-*r/
5×flip3-- flip--
4×cbrt-undiv div-exp add-log-exp
3×times-frac pow1/3 pow-prod-down distribute-lft-out-- difference-of-squares
2×frac-times
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
15.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) t) (* z (cbrt (- y x))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- y x))
140.0ms
(cbrt (- y x))
138.0ms
(cbrt (- y x))
44.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) t) (* z (cbrt (- y x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0385807
11348685
25001614

prune261.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

-9.5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.8b

bsearch72.0ms

Steps
ItersRangePoint
5
8.196932304261141e-231
2.052393603608701e-230
1.4433786733105074e-230
8
-8.420527105983936e-105
-3.1256966607670814e-107
-3.511788330860142e-107

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815

end0.0ms

sample614.0ms

Algorithm
intervals
Results
325.0ms10672×body80valid