Details

Time bar (total: 5.0s)

sample26.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
25.0ms
(* (/ (- x y) (- z y)) t)

series152.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- x y) (- z y))
104.0ms
(* (/ (- x y) (- z y)) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune234.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 125
Calls
3 calls:
6.0ms
(/ 1 (- z y))
23.0ms
(* (- x y) (/ 1 (- z y)))
31.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series193.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- z y))
48.0ms
(* (- x y) (/ 1 (- z y)))
104.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify51.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0402702
11906585
25003543

prune241.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*l*
26×times-frac
18×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-- associate-*r* associate-*l/ *-commutative flip-- div-inv
Counts
4 → 94
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
36.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt t)
193.0ms
(cbrt t)
188.0ms
(cbrt t)
223.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0334635
11168494
25002480

prune279.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.6b
(* (cbrt (- z y)) (cbrt (- z y)))
1.8b
(* (* (- x y) (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ 1 (cbrt (- z y))))) t)

rewrite699.0ms

Algorithm
rewrite-expression-head
Rules
150×add-exp-log
100×prod-exp
38×cbrt-prod
35×add-sqr-sqrt add-cbrt-cube
33×*-un-lft-identity
30×div-exp
24×cbrt-unprod
21×associate-*l/
20×pow1
16×cbrt-div
15×frac-times add-cube-cbrt rec-exp 1-exp
13×flip3-- flip--
11×associate-*r*
10×swap-sqr
9×associate-*r/ associate-*l*
8×pow1/3 pow-prod-down distribute-lft-out--
7×cbrt-undiv
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×un-div-inv
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 161
Calls
4 calls:
5.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
20.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
665.0ms
(* (* (- x y) (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ 1 (cbrt (- z y))))) t)

series538.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z y))
156.0ms
(cbrt (- z y))
130.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
100.0ms
(* (* (- x y) (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ 1 (cbrt (- z y))))) t)

simplify109.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09681734
135901446
250021213

prune392.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

6.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.5b

bsearch81.0ms

Steps
ItersRangePoint
9
3.810025497504104e-61
3.3093313890471513e-56
2.0045449539402862e-60
9
2.0248993660638833e-255
1.874096716466243e-250
5.800443013169403e-254

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample600.0ms

Algorithm
intervals
Results
379.0ms8717×body80valid