Details

Time bar (total: 4.8s)

sample24.0ms

Algorithm
intervals
Results
13.0ms274×body80valid

simplify61.0ms

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: 3.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.0b
(* (/ (- x y) (- z y)) t)

rewrite43.0ms

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:
15.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series145.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune228.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
4.9b
(cbrt (/ (- x y) (- z y)))
4.9b
(cbrt (/ (- x y) (- z y)))
4.9b
(cbrt (/ (- x y) (- z y)))

rewrite279.0ms

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
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*r/ associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 156
Calls
4 calls:
256.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
5.0ms
(cbrt (/ (- x y) (- z y)))
5.0ms
(cbrt (/ (- x y) (- z y)))
5.0ms
(cbrt (/ (- x y) (- z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
316.0ms
(cbrt (/ (- x y) (- z y)))
307.0ms
(cbrt (/ (- x y) (- z y)))
309.0ms
(cbrt (/ (- x y) (- z y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04541867
113371693
250011609

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
4.8b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-undiv add-cube-cbrt
7×associate-*l*
6×cbrt-div 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
53.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series575.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- x y))
171.0ms
(cbrt (- x y))
149.0ms
(cbrt (- x y))
101.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify81.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
04791039
12151802
25002693

prune293.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.3b
(* (- x y) (/ t (- z y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ t (- z y))
22.0ms
(* (- x y) (/ t (- z y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ t (- z y))
65.0ms
(* (- x y) (/ t (- z y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0301489
11365452
25001452

prune199.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes229.0ms

Accuracy

22.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03328
13728
23728

end0.0ms

sample662.0ms

Algorithm
intervals
Results
428.0ms8725×body80valid