Details

Time bar (total: 5.1s)

sample21.0ms

Algorithm
intervals
Results
7.0ms343×body80valid

simplify116.0ms

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: 1.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.5b
(* (/ x y) (- z t))

rewrite42.0ms

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:
15.0ms
(+ (* (/ x y) (- z t)) t)
26.0ms
(* (/ x y) (- z t))

series111.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* (/ x y) (- z t)) t)
57.0ms
(* (/ x y) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune115.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.3b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.5b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
177.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
57.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series457.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- z t))
154.0ms
(cbrt (- z t))
56.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
97.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify76.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
08202292
126302077
250012021

prune420.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
1.3b
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
1.5b
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
3.1b
(* (/ x y) (cbrt (- z t)))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-div
100×frac-times
69×flip3-- flip--
50×associate-*l/
36×add-sqr-sqrt associate-*r/
32×add-exp-log
26×*-un-lft-identity
24×associate-*r*
22×cbrt-prod
20×pow1
18×add-cube-cbrt
16×prod-exp add-cbrt-cube cbrt-unprod
15×associate-*l*
11×times-frac
10×pow-prod-down
4×distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×cbrt-undiv div-exp *-commutative
1×pow1/3 div-inv
Counts
4 → 181
Calls
4 calls:
4.0ms
(cbrt (- z t))
186.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
58.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
28.0ms
(* (/ x y) (cbrt (- z t)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z t))
53.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
101.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
109.0ms
(* (/ x y) (cbrt (- z t)))

simplify89.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08582382
132172235
250022164

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ x y) (cbrt (- z t)))
8.2b
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))
8.2b
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))
8.2b
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
127×cbrt-div
50×frac-times
38×flip3-- flip--
26×associate-*r/
25×add-sqr-sqrt associate-*l/
15×*-un-lft-identity
13×add-cube-cbrt associate-*l*
11×times-frac
10×cbrt-prod
9×add-exp-log
8×associate-*r*
7×add-cbrt-cube
6×pow1
4×add-log-exp unswap-sqr
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
29.0ms
(* (/ x y) (cbrt (- z t)))
44.0ms
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))
45.0ms
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))
44.0ms
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))

series582.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (/ x y) (cbrt (- z t)))
162.0ms
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))
155.0ms
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))
159.0ms
(cbrt (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))))

simplify45.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
05211638
114901571
250011524

prune535.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes177.0ms

Accuracy

18.2% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.3b

bsearch66.0ms

Steps
ItersRangePoint
8
-3.0367681793743404e-235
-3.8162486351435958e-239
-2.5994838812943926e-235
9
-2.0930044658166477e+49
-6.226165089791479e+40
-6.588063774691334e+40

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03820
13820

end0.0ms

sample609.0ms

Algorithm
intervals
Results
251.0ms10498×body80valid