Details

Time bar (total: 4.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms342×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130214
1245414
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series86.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (/ x y) (- z t)) t)
50.0ms
(* (/ x y) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0314342
11191302
25002302

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
13.1b
(cbrt (/ x y))
13.1b
(cbrt (/ x y))
13.1b
(cbrt (/ x y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
17.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
6.0ms
(cbrt (/ x y))

series243.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
65.0ms
(cbrt (/ x y))
59.0ms
(cbrt (/ x y))
65.0ms
(cbrt (/ x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04781197
115531009
25001890

prune345.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y)))) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
3.7b
(cbrt (/ x (cbrt y)))
13.1b
(cbrt (/ x y))
13.1b
(cbrt (/ x y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
99×cbrt-div
81×frac-times
57×cbrt-prod
45×associate-*l/
39×associate-*r/
36×times-frac
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
25×pow1 add-exp-log
16×flip3-- flip--
15×pow-prod-down prod-exp cbrt-unprod
14×add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 158
Calls
4 calls:
25.0ms
(* (* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y)))) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
3.0ms
(cbrt (/ x (cbrt y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series350.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y)))) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
157.0ms
(cbrt (/ x (cbrt y)))
81.0ms
(cbrt (/ x y))
58.0ms
(cbrt (/ x y))

simplify106.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09072447
140842216
250012205

prune637.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
1.4b
(* (/ x (cbrt y)) (- z t))
4.0b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
32×add-sqr-sqrt
29×associate-*l*
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1 frac-times associate-*r/
10×cbrt-undiv distribute-rgt-in distribute-lft-in
6×sub-neg rec-exp flip3-- 1-exp associate-*r* flip--
4×pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* (/ x (cbrt y)) (- z t))
17.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt y)
177.0ms
(cbrt y)
178.0ms
(* (/ x (cbrt y)) (- z t))
83.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06881266
13362978
25001864

prune326.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

25.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch64.0ms

Steps
ItersRangePoint
7
1.5567492525021508e-49
1.0331831888385902e-47
4.006446543357022e-49
8
-2.1653653457722992e+70
-3.9750706408177096e+67
-5.910237375042319e+67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample565.0ms

Algorithm
intervals
Results
292.0ms10623×body80valid