Details

Time bar (total: 4.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms328×body80valid

simplify125.0ms

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: 2.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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))

series86.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (/ x y) (- z t)) t)
54.0ms
(* (/ x y) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0314342
11191302
25002302

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.0b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.7b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite154.0ms

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:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
108.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
31.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z t))
148.0ms
(cbrt (- z t))
50.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
96.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify77.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
08202294
126372077
250022021

prune436.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
1.0b
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
2.1b
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
2.6b
(* (/ x y) (cbrt (- z t)))

rewrite164.0ms

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:
2.0ms
(cbrt (- z t))
104.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
30.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
16.0ms
(* (/ x y) (cbrt (- z t)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- z t))
51.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
92.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
97.0ms
(* (/ x y) (cbrt (- z t)))

simplify89.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08582384
132352235
250022164

prune487.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.6b
(* (/ x y) (cbrt (- z t)))
2.9b
(* (* (/ x y) (cbrt (- z t))) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
40×associate-*r/
31×add-sqr-sqrt
30×add-exp-log
27×associate-*l/
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*l*
11×times-frac
9×associate-*r* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 152
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
19.0ms
(* (/ x y) (cbrt (- z t)))
48.0ms
(* (* (/ x y) (cbrt (- z t))) (* (cbrt (- z t)) (cbrt (- z t))))

series442.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- z t))
141.0ms
(cbrt (- z t))
103.0ms
(* (/ x y) (cbrt (- z t)))
51.0ms
(* (* (/ x y) (cbrt (- z t))) (* (cbrt (- z t)) (cbrt (- z t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
08011949
124361754
250021719

prune370.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes198.0ms

Accuracy

19.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch68.0ms

Steps
ItersRangePoint
7
1.2878373225249692e+95
4.876432498435957e+96
1.301427482476951e+95
9
-1.6244790721839041e+47
-3.4396466018606314e+40
-3.4868586825074196e+40

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612
12612

end0.0ms

sample571.0ms

Algorithm
intervals
Results
289.0ms10676×body80valid