Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms329×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

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
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.7b
(/ (* y (- z x)) t)

rewrite48.0ms

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-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in 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 → 61
Calls
3 calls:
9.0ms
(+ x (/ (* y (- z x)) t))
22.0ms
(* y (- z x))
15.0ms
(/ (* y (- z x)) t)

series307.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ (* y (- z x)) t))
230.0ms
(* y (- z x))
44.0ms
(/ (* y (- z x)) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
39.0ms
(+ x (/ y (/ t (- z x))))
11.0ms
(/ t (- z x))
17.0ms
(/ y (/ t (- z x)))

series111.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ x (/ y (/ t (- z x))))
29.0ms
(/ t (- z x))
49.0ms
(/ y (/ t (- z x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05391150
123681110
250011107

prune347.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
6.1b
(* (/ y t) (- z x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
7.0ms
(+ x (* (/ y t) (- z x)))
28.0ms
(* (/ y t) (- z x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (* (/ y t) (- z x)))
50.0ms
(* (/ y t) (- z x))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune117.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z x))
0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
6.2b
(/ (/ y t) (/ 1 (- z x)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
12.0ms
(/ 1 (- z x))
96.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
26.0ms
(/ (/ y t) (/ 1 (- z x)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1 (- z x))
36.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
48.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify76.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017044274
150013890

prune696.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes157.0ms

Accuracy

64.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample623.0ms

Algorithm
intervals
Results
252.0ms10698×body80valid