Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify62.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.2b
(* (/ (- x y) (- z y)) t)

rewrite25.0ms

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))
12.0ms
(* (/ (- x y) (- z y)) t)

series152.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- x y) (- z y))
99.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune211.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1057112
Fresh000
Picked011
Done000
Total1058113

Merged error: 0.0b

Counts
113 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
10.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series586.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
156.0ms
(cbrt (- x y))
150.0ms
(cbrt (- x y))
156.0ms
(cbrt (- x y))

simplify165.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0326790
11078753
24987700
35001700

prune353.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh066
Picked011
Done011
Total1218129

Merged error: 0.0b

Counts
129 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.5b
(* (- x y) (/ t (- z y)))

rewrite21.0ms

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

series94.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- z y))
65.0ms
(* (- x y) (/ t (- z y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0301489
11365452
25001452

prune174.0ms

Filtered
93 candidates to 67 candidates (72.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh055
Picked011
Done022
Total929101

Merged error: 0b

Counts
101 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.7b
(* (/ (- x y) (cbrt (- z y))) t)
9.4b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
87×add-sqr-sqrt
77×*-un-lft-identity
69×associate-*l*
59×cbrt-prod
47×prod-exp
45×times-frac
35×add-cube-cbrt add-cbrt-cube
28×cbrt-div
21×cbrt-unprod
20×div-exp distribute-lft-out--
18×pow1 difference-of-squares
14×flip3-- flip--
12×associate-*r*
10×cbrt-undiv swap-sqr associate-/r/
9×frac-times
8×associate-*l/
7×pow1/3 unswap-sqr
6×rec-exp 1-exp pow-prod-down
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 204
Calls
4 calls:
3.0ms
(cbrt (- z y))
10.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
18.0ms
(* (/ (- x y) (cbrt (- z y))) t)
25.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series684.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- z y))
130.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
252.0ms
(* (/ (- x y) (cbrt (- z y))) t)
155.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify113.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08371974
135361671
250021503

prune447.0ms

Filtered
216 candidates to 137 candidates (63.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2160216
Fresh055
Picked011
Done033
Total2169225

Merged error: 0b

Counts
225 → 9

regimes211.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample501.0ms

Algorithm
intervals
Results
271.0ms8688×body80valid