Details

Time bar (total: 4.3s)

sample22.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.6b
(/ (* y (- z t)) a)

rewrite38.0ms

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:
8.0ms
(+ x (/ (* y (- z t)) a))
17.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

series149.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (/ (* y (- z t)) a))
33.0ms
(* y (- z t))
67.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune150.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
32.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a)
186.0ms
(cbrt a)
176.0ms
(cbrt a)
87.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0480918
12615741
25001706

prune429.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
17×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×*-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×cbrt-prod times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
34.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt a)
178.0ms
(cbrt a)
175.0ms
(cbrt a)
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03921037
12140778
25001751

prune351.0ms

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
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
6.3b
(/ y (/ a (- z t)))

rewrite55.0ms

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
(/ a (- z t))
33.0ms
(+ x (/ y (/ a (- z t))))
9.0ms
(/ y (/ a (- z t)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ a (- z t))
52.0ms
(+ x (/ y (/ a (- z t))))
51.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05471150
123841110
250021107

prune420.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

48.1% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.6b

bsearch124.0ms

Steps
ItersRangePoint
8
1.7363061725350656e+87
3.2073346679230266e+91
2.3994669205122896e+89
7
3.6355646074720635e-147
1.7370619593677833e-145
3.729089204417629e-146
10
-1.5620630623110932e+116
-3.490474434126433e+103
-3.5272501514606936e+103

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04118
14518
24618
34618

end0.0ms

sample618.0ms

Algorithm
intervals
Results
308.0ms10672×body80valid