Details

Time bar (total: 4.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms337×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 6.5b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:
5.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series131.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ (* y (- z x)) t))
36.0ms
(* y (- z x))
53.0ms
(/ (* y (- z x)) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune144.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))))
6.4b
(/ y (/ t (- z x)))

rewrite46.0ms

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:
5.0ms
(/ t (- z x))
24.0ms
(+ x (/ y (/ t (- z x))))
9.0ms
(/ y (/ t (- z x)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ t (- z x))
35.0ms
(+ x (/ y (/ t (- z x))))
60.0ms
(/ y (/ t (- z x)))

simplify63.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05391150
123681110
250011107

prune528.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.8b
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
603×times-frac
313×add-sqr-sqrt *-un-lft-identity
217×add-cube-cbrt
129×cbrt-prod
48×distribute-lft-out-- difference-of-squares
46×div-inv
36×associate-/r*
25×add-exp-log
18×add-cbrt-cube
17×associate-/r/
13×cbrt-undiv div-exp
8×flip3-- flip--
7×associate-/l*
4×pow1 add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 352
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
20.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
178.0ms
(cbrt t)
182.0ms
(cbrt t)
96.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015055434
150015116

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
7.4b
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.4b
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.4b
(cbrt (/ y (* (cbrt t) (cbrt t))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div div-inv
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt t)
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt t)
153.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
146.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
152.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

simplify131.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 4 (120.0ms)

IterNodesCost
0105495
1244459
2817451
34107451
45002447

prune317.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02235
12235

end0.0ms

sample529.0ms

Algorithm
intervals
Results
271.0ms10603×body80valid