Details

Time bar (total: 5.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms328×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1333
2633
31073
41483
51813
62203
73073
85873
911813
1023143
1137383
1250013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
10.0ms
(+ (* (/ x y) (- z t)) t)
16.0ms
(* (/ x y) (- z t))

series90.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (/ x y) (- z t)) t)
56.0ms
(* (/ x y) (- z t))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0468779
11866547
25001533

prune250.0ms

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))))

rewrite148.0ms

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 expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 172
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
101.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
30.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
51.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
96.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify78.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08322341
126732121
250012060

prune488.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite161.0ms

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×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
3×cbrt-undiv div-exp *-commutative
1×pow1/3 div-inv
Counts
4 → 189
Calls
4 calls:
2.0ms
(cbrt (- z t))
100.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
32.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
16.0ms
(* (/ x y) (cbrt (- z t)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- z t))
56.0ms
(* (* (* (/ x y) (cbrt (- z t))) (cbrt (- z t))) (cbrt (- z t)))
94.0ms
(* (* (/ x y) (cbrt (- z t))) (cbrt (- z t)))
99.0ms
(* (/ x y) (cbrt (- z t)))

simplify96.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08732435
132662288
250012211

prune528.0ms

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))))

rewrite77.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 160
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z t))
18.0ms
(* (/ x y) (cbrt (- z t)))
45.0ms
(* (* (/ x y) (cbrt (- z t))) (* (cbrt (- z t)) (cbrt (- z t))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- z t))
153.0ms
(cbrt (- z t))
100.0ms
(* (/ x y) (cbrt (- z t)))
50.0ms
(* (* (/ x y) (cbrt (- z t))) (* (cbrt (- z t)) (cbrt (- z t))))

simplify67.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
08121993
124701796
250011759

prune621.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes201.0ms

Accuracy

19.5% (1.5b remaining)

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

bsearch64.0ms

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

sample557.0ms

Algorithm
intervals
Results
291.0ms10676×body80valid