Details

Time bar (total: 5.4s)

sample28.0ms

Algorithm
intervals
Results
15.0ms278×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
2.3b
(* y (/ (- z t) (- z a)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- z a))))
14.0ms
(/ (- z t) (- z a))
25.0ms
(* y (/ (- z t) (- z a)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ x (* y (/ (- z t) (- z a))))
47.0ms
(/ (- z t) (- z a))
62.0ms
(* y (/ (- z t) (- z a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423747
11655704
25001704

prune286.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.2b
(cbrt (/ (- z t) (- z a)))
3.2b
(cbrt (/ (- z t) (- z a)))
3.2b
(cbrt (/ (- z t) (- z a)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
49.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
6.0ms
(cbrt (/ (- z t) (- z a)))
9.0ms
(cbrt (/ (- z t) (- z a)))
6.0ms
(cbrt (/ (- z t) (- z a)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
135.0ms
(cbrt (/ (- z t) (- z a)))
130.0ms
(cbrt (/ (- z t) (- z a)))
132.0ms
(cbrt (/ (- z t) (- z a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
03011464
16511394
216511384
350011364

prune501.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
2.3b
(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
29×prod-exp cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×cbrt-undiv div-exp
9×pow1
8×add-cube-cbrt
6×cbrt-div
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 84
Calls
4 calls:
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
186.0ms
(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))))

series722.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- z a))
151.0ms
(cbrt (- z a))
357.0ms
(cbrt (- z a))
67.0ms
(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))) (/ (cbrt (- z t)) (cbrt (- z a)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05221282
12320922
25001765

prune317.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.3b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
15×cbrt-prod flip3-- flip--
14×add-sqr-sqrt *-un-lft-identity
13×pow1
12×associate-*l/
11×prod-exp cbrt-unprod
8×add-cube-cbrt
6×pow-prod-down
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
111.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- z t))
150.0ms
(cbrt (- z t))
153.0ms
(cbrt (- z t))
66.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- z a))))

simplify50.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0445925
11410785
25001730

prune331.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes345.0ms

Accuracy

57.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch91.0ms

Steps
ItersRangePoint
9
2.7413777313647e-155
3.6329735733827265e-148
2.537123193236992e-149
8
-1.2125214204419057e-47
-3.9119065816224897e-50
-7.907887156258255e-48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03111
13111

end0.0ms

sample788.0ms

Algorithm
intervals
Results
511.0ms8744×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid