Details

Time bar (total: 5.4s)

sample30.0ms

Algorithm
intervals
Results
17.0ms348×body80valid

simplify117.0ms

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: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
7.1b
(/ (* y (- z x)) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series92.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (* y (- z x)) t))
54.0ms
(/ (* y (- z x)) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0231227
1860204
24195192
35003192

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:
31.0ms
(+ x (/ y (/ t (- z x))))
5.0ms
(/ t (- z x))
10.0ms
(/ y (/ t (- z x)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ x (/ y (/ t (- z x))))
35.0ms
(/ t (- z x))
58.0ms
(/ y (/ t (- z x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05391150
123681110
250011107

prune394.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b
(/ 1 (- z x))
7.7b
(/ (/ y t) (/ 1 (- z x)))

rewrite139.0ms

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:
89.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
6.0ms
(/ 1 (- z x))
17.0ms
(/ (/ y t) (/ 1 (- z x)))

series143.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
42.0ms
(/ 1 (- z x))
63.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify75.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017044274
150013895

prune802.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
6.1b
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

rewrite51.0ms

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:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
20.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

series696.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt t)
187.0ms
(cbrt t)
192.0ms
(cbrt t)
104.0ms
(/ (/ y (* (cbrt t) (cbrt t))) (/ (cbrt t) (- z x)))

simplify76.0ms

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015055434
150015116

prune1.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes141.0ms

Accuracy

6.5% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch108.0ms

Steps
ItersRangePoint
9
4.163075315755895e-192
5.811029130880998e-186
8.196079930212242e-188
10
-9.439442939314403e-86
-1.5433247655413616e-96
-3.5227937472553656e-91

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample838.0ms

Algorithm
intervals
Results
546.0ms10721×body80valid