Details

Time bar (total: 5.6s)

sample19.0ms

Algorithm
intervals
Results
7.0ms284×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: 2.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.6b
(* (/ (- 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)

series148.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- x y) (- z y))
100.0ms
(* (/ (- x y) (- z y)) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.5b
(/ 1 (/ (- z y) (- x y)))
2.6b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*r* cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 332
Calls
3 calls:
11.0ms
(/ (- z y) (- x y))
15.0ms
(/ 1 (/ (- z y) (- x y)))
53.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series339.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- z y) (- x y))
136.0ms
(/ 1 (/ (- z y) (- x y)))
156.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
341 → 341
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08852703
142142416
250012191

prune568.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
4.4b
(cbrt (/ (- x y) (- z y)))
4.4b
(cbrt (/ (- x y) (- z y)))
4.4b
(cbrt (/ (- x y) (- z y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
6×associate-/r/
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*r/ flip-- div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 157
Calls
4 calls:
84.0ms
(* (* (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:
97.0ms
(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
310.0ms
(cbrt (/ (- x y) (- z y)))
312.0ms
(cbrt (/ (- x y) (- z y)))
311.0ms
(cbrt (/ (- x y) (- z y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04531905
112521709
250011633

prune476.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (/ (- x y) (- z y)) t)
6.7b
(cbrt (* (/ (- x y) (- z y)) t))
6.7b
(cbrt (* (/ (- x y) (- z y)) t))
6.7b
(cbrt (* (/ (- x y) (- z y)) t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*l*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 88
Calls
4 calls:
24.0ms
(* (/ (- x y) (- z y)) t)
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))
12.0ms
(cbrt (* (/ (- x y) (- z y)) t))

series974.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (/ (- x y) (- z y)) t)
297.0ms
(cbrt (* (/ (- x y) (- z y)) t))
287.0ms
(cbrt (* (/ (- x y) (- z y)) t))
288.0ms
(cbrt (* (/ (- x y) (- z y)) t))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0384740
11135680
25001674

prune290.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

-14.6% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch75.0ms

Steps
ItersRangePoint
9
5.372491393030732e-248
7.129843410364393e-242
1.0989942371192286e-242
8
-1.6995986717281967e+52
-3.483456892345127e+47
-5.483188078381572e+48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample499.0ms

Algorithm
intervals
Results
253.0ms8810×body80valid