Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms280×body80valid

simplify58.0ms

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

localize6.0ms

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

series148.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- x y) (- z y))
95.0ms
(* (/ (- x y) (- z y)) t)

simplify106.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune222.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1048112
Fresh000
Picked101
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)

rewrite41.0ms

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:
6.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
17.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series180.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- z y))
51.0ms
(* (- x y) (/ 1 (- z y)))
96.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0402702
11906585
25003543

prune196.0ms

Filtered
134 candidates to 78 candidates (58.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh077
Picked011
Done000
Total1339142

Merged error: 0b

Counts
142 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.8b
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
0.9b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
34×add-exp-log
32×associate-*l*
26×times-frac
21×add-cbrt-cube
19×add-cube-cbrt
18×pow1
17×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 associate-/r/ *-commutative unswap-sqr
1×flip3-- flip-- div-inv
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
20.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series876.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt t)
174.0ms
(cbrt t)
127.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
404.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify86.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0418962
11750710
25002667

prune270.0ms

Filtered
124 candidates to 85 candidates (68.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh077
Picked011
Done011
Total1249133

Merged error: 0b

Counts
133 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
7.7b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
44×prod-exp
31×add-cbrt-cube
19×div-exp
18×cbrt-div cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity associate-*l*
9×pow1 cbrt-undiv add-cube-cbrt flip3-- flip--
8×associate-/r/
6×rec-exp 1-exp
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-*r/ pow-prod-down distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative div-inv
Counts
4 → 112
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
26.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series588.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))
150.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify63.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05211249
12201997
25001862

prune253.0ms

Filtered
124 candidates to 81 candidates (65.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh066
Picked011
Done022
Total1249133

Merged error: 0b

Counts
133 → 9

regimes180.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample449.0ms

Algorithm
intervals
Results
229.0ms8748×body80valid