Details

Time bar (total: 4.9s)

sample32.0ms

Algorithm
intervals
Results
19.0ms351×body80valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 1.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.7b
(* (/ x y) (- z t))

rewrite23.0ms

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:
7.0ms
(+ (* (/ x y) (- z t)) t)
15.0ms
(* (/ x y) (- z t))

series84.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (/ x y) (- z t)) t)
52.0ms
(* (/ x y) (- z t))

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0314342
11191302
25002302

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.3b
(* (/ x (cbrt y)) (- z t))
3.4b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite71.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
18.0ms
(* (/ x (cbrt y)) (- z t))
46.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt y)
182.0ms
(cbrt y)
184.0ms
(* (/ x (cbrt y)) (- z t))
84.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06881266
13362978
25001864

prune333.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) y)
0.0b
(+ (* x (/ (- z t) y)) t)
5.1b
(* x (/ (- z t) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
7.0ms
(/ (- z t) y)
6.0ms
(+ (* x (/ (- z t) y)) t)
18.0ms
(* x (/ (- z t) y))

series109.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- z t) y)
37.0ms
(+ (* x (/ (- z t) y)) t)
46.0ms
(* x (/ (- z t) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342501
11379468
25002456

prune201.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.9b
(* (/ x (cbrt (cbrt y))) (- z t))
1.9b
(* (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (/ x (cbrt (cbrt y))) (- z t)))
3.4b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (/ x (cbrt (cbrt y))) (- z t))))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
904×add-exp-log
574×prod-exp
241×div-exp
159×add-cbrt-cube
114×cbrt-unprod
92×rec-exp 1-exp
57×cbrt-undiv
45×associate-*l*
42×add-sqr-sqrt
40×frac-times associate-*r/
36×times-frac
34×distribute-rgt-in distribute-lft-in
33×cbrt-prod
31×*-un-lft-identity
29×add-cube-cbrt
20×pow1
14×sub-neg flip3-- flip--
11×associate-*l/
10×pow-prod-down
7×associate-*r*
4×add-log-exp unswap-sqr
3×*-commutative div-inv
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 382
Calls
4 calls:
0.0ms
(cbrt y)
23.0ms
(* (/ x (cbrt (cbrt y))) (- z t))
53.0ms
(* (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (/ x (cbrt (cbrt y))) (- z t)))
190.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (/ x (cbrt (cbrt y))) (- z t))))

series818.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt y)
311.0ms
(* (/ x (cbrt (cbrt y))) (- z t))
200.0ms
(* (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (/ x (cbrt (cbrt y))) (- z t)))
89.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ 1 (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (/ x (cbrt (cbrt y))) (- z t))))

simplify90.0ms

Algorithm
egg-herbie
Counts
394 → 394
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
018626668
150015570

prune666.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample829.0ms

Algorithm
intervals
Results
548.0ms10609×body80valid