Details

Time bar (total: 4.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify65.0ms

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: 1.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite26.0ms

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:
9.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series148.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune246.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (* 1 (/ (- x y) (- z y))) t)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt *-un-lft-identity
25×times-frac
18×add-exp-log
15×add-cube-cbrt
13×add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
9×prod-exp
7×pow1
5×associate-/r* cbrt-unprod associate-/l*
3×div-exp associate-*r* pow-prod-down
2×cbrt-undiv expm1-log1p-u flip3-- 1-exp associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg div-sub associate-*r/ associate-*l* associate-*l/ clear-num *-commutative div-inv
Counts
2 → 79
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
12.0ms
(* (* 1 (/ (- x y) (- z y))) t)

series150.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (- z y))
99.0ms
(* (* 1 (/ (- x y) (- z y))) t)

simplify42.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0355532
11222474
25001474

prune189.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (* 1 (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y))))) t)
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))
2.8b
(cbrt (/ (- x y) (- z y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
27×add-exp-log
19×prod-exp
18×pow1
15×cbrt-div
14×add-cbrt-cube
12×associate-*l/
10×associate-*r/ pow-prod-down cbrt-unprod
6×associate-/r/
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 1-exp associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 162
Calls
4 calls:
38.0ms
(* (* 1 (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y))))) t)
8.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
8.0ms
(cbrt (/ (- x y) (- z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (* 1 (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y))))) t)
322.0ms
(cbrt (/ (- x y) (- z y)))
304.0ms
(cbrt (/ (- x y) (- z y)))
309.0ms
(cbrt (/ (- x y) (- z y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05612005
117261723
250011637

prune514.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
33×prod-exp
30×cbrt-div
29×associate-*l/
23×add-cbrt-cube
22×associate-*r/
18×pow1
17×cbrt-unprod
16×frac-times
15×cbrt-prod flip3-- flip--
14×add-sqr-sqrt *-un-lft-identity
10×pow-prod-down
8×add-cube-cbrt
5×1-exp
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* distribute-lft-out-- difference-of-squares
2×cbrt-undiv
1×associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
31.0ms
(* (* 1 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- z y)))) t)

series556.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- x y))
147.0ms
(cbrt (- x y))
149.0ms
(cbrt (- x y))
107.0ms
(* (* 1 (* (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) (- z y)))) t)

simplify70.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06331100
12382889
25001837

prune324.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (2.2b 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
0144
1164
2164

end0.0ms

sample445.0ms

Algorithm
intervals
Results
227.0ms8735×body80valid