Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms341×body80valid

simplify104.0ms

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: 8.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
8.6b
(/ (* y (- z x)) t)

rewrite52.0ms

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:
24.0ms
(* y (- z x))
10.0ms
(+ x (/ (* y (- z x)) t))
16.0ms
(/ (* y (- z x)) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* y (- z x))
35.0ms
(+ x (/ (* y (- z x)) t))
42.0ms
(/ (* y (- z x)) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune142.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
4.9b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
62.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t)
173.0ms
(cbrt t)
171.0ms
(cbrt t)
85.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune329.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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:
12.0ms
(/ t (- z x))
44.0ms
(+ x (/ y (/ t (- z x))))
18.0ms
(/ y (/ t (- z x)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ t (- z x))
31.0ms
(+ x (/ y (/ t (- z x))))
52.0ms
(/ y (/ t (- z x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05391150
123681110
250011107

prune379.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z x))
0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
6.5b
(/ (/ y t) (/ 1 (- z x)))

rewrite176.0ms

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))
105.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
31.0ms
(/ (/ y t) (/ 1 (- z x)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- z x))
32.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
54.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017044274
150013890

prune743.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

49.1% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821
12821

end0.0ms

sample648.0ms

Algorithm
intervals
Results
264.0ms10776×body80valid