Details

Time bar (total: 4.5s)

sample25.0ms

Algorithm
intervals
Results
10.0ms356×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 7.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
7.6b
(/ (* y (- z t)) a)

rewrite21.0ms

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
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series134.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* y (- z t))
51.0ms
(+ x (/ (* y (- z t)) a))
47.0ms
(/ (* y (- z t)) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune144.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite39.0ms

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)
34.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a)
178.0ms
(cbrt a)
175.0ms
(cbrt a)
92.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune516.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.6b
(* y (/ (- z t) (cbrt a)))
3.6b
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×*-un-lft-identity
34×associate-*r*
33×times-frac
30×add-exp-log
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 102
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
21.0ms
(* y (/ (- z t) (cbrt a)))
10.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a)
200.0ms
(cbrt a)
148.0ms
(* y (/ (- z t) (cbrt a)))
86.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0456748
12321627
25001585

prune303.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:
27.0ms
(+ x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
53.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05471150
123841110
250021107

prune394.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes395.0ms

Accuracy

60% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.5b

bsearch114.0ms

Steps
ItersRangePoint
7
2.117967555245603e-67
3.754585379720712e-65
3.2505368024643425e-65
7
1.6551719851536629e-180
2.2037249846410062e-178
1.7173456035223482e-179
11
-3.97167716156118e+60
-1.9638181317485082e+40
-2.817894390715925e+45

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03416
13416

end0.0ms

sample646.0ms

Algorithm
intervals
Results
322.0ms10786×body80valid