Details

Time bar (total: 6.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify42.0ms

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: 5.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
4.0ms
(+ x (/ (* y (- z t)) a))
10.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series135.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
51.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune149.0ms

Pruning

6 alts after pruning (5 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)
5.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite43.0ms

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)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt a)
175.0ms
(cbrt a)
174.0ms
(cbrt a)
90.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune354.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
52×cbrt-prod
51×times-frac
42×*-un-lft-identity
34×associate-*r*
30×add-cube-cbrt
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube distribute-lft-out-- difference-of-squares
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 117
Calls
4 calls:
30.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
3.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
4.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
4.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

series956.0ms

Counts
4 → 12
Calls
4 calls:
512.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
150.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
149.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify57.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04161324
116281248
250021241

prune507.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
3.5b
(cbrt (/ y (cbrt a)))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
76×cbrt-prod
66×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
34×associate-*r*
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube distribute-lft-out-- difference-of-squares
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 132
Calls
4 calls:
27.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
2.0ms
(cbrt (/ y (cbrt a)))
4.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

series1.2s

Counts
4 → 12
Calls
4 calls:
700.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
165.0ms
(cbrt (/ y (cbrt a)))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
147.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify59.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05061441
118721369
250011362

prune679.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes382.0ms

Accuracy

57.7% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.1b

bsearch62.0ms

Steps
ItersRangePoint
6
2.4945637507403793e-122
1.4420515589383447e-121
1.1258884786794658e-121
7
-3.171904796026698e+67
-2.0498894550570436e+65
-2.0796321081405416e+65

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample629.0ms

Algorithm
intervals
Results
312.0ms10762×body80valid