Details

Time bar (total: 3.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms284×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

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: 1.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (/ (- 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:
8.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series142.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- x y) (- z y))
93.0ms
(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune198.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.3b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite34.0ms

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:
5.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series174.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (- z y))
50.0ms
(* (- x y) (/ 1 (- z y)))
92.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify50.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0402702
11906585
25003543

prune183.0ms

Filtered
134 candidates to 78 candidates (58.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh066
Picked011
Done011
Total1348142

Merged error: 0.0b

Counts
142 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.7b
(* (/ (- x y) (cbrt (- z y))) t)
6.9b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
66×add-sqr-sqrt
61×associate-*l*
58×*-un-lft-identity
46×prod-exp
45×times-frac
36×cbrt-prod
35×add-cbrt-cube
28×add-cube-cbrt
20×div-exp cbrt-unprod
18×cbrt-div
15×distribute-lft-out-- difference-of-squares
11×pow1
10×cbrt-undiv associate-/r/
9×flip3-- flip--
6×rec-exp 1-exp associate-*l/
5×frac-times
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×associate-*r/ unswap-sqr
2×pow1/3 *-commutative div-inv
Counts
4 → 163
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
14.0ms
(* (/ (- x y) (cbrt (- z y))) t)
29.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series691.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- z y))
138.0ms
(cbrt (- z y))
252.0ms
(* (/ (- x y) (cbrt (- z y))) t)
154.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify73.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07361636
127071350
250011218

prune366.0ms

Filtered
175 candidates to 116 candidates (66.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1750175
Fresh055
Picked011
Done022
Total1758183

Merged error: 0.0b

Counts
183 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.5b
(* (- x y) (/ t (- z y)))

rewrite24.0ms

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))
16.0ms
(* (- x y) (/ t (- z y)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ t (- z y))
58.0ms
(* (- x y) (/ t (- z y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0301489
11365452
25001452

prune144.0ms

Filtered
93 candidates to 67 candidates (72.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New91293
Fresh134
Picked101
Done033
Total938101

Merged error: 0b

Counts
101 → 8

regimes167.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample419.0ms

Algorithm
intervals
Results
217.0ms8759×body80valid