Details

Time bar (total: 5.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms327×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

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: 3.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
10.0ms
(/ t (- 1.0 z))
25.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- 1.0 z))
32.0ms
(- (/ y z) (/ t (- 1.0 z)))
52.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify256.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New92412936
Fresh000
Picked101
Done000
Total92512937

Merged error: 0.5b

Counts
937 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
3.8b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 z))
8.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
11.0ms
(* t (/ 1 (- 1.0 z)))
10.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1 (- 1.0 z))
34.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
34.0ms
(* t (/ 1 (- 1.0 z)))
52.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06261632
126971397
250011294

prune315.0ms

Filtered
197 candidates to 116 candidates (58.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1970197
Fresh01111
Picked011
Done000
Total19712209

Merged error: 0.5b

Counts
209 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.8b
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))))

series737.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
183.0ms
(cbrt z)
189.0ms
(cbrt z)
181.0ms
(* x (fma (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (- (/ t (- 1.0 z)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0161470
1613409
23229385
35001368

prune217.0ms

Filtered
73 candidates to 62 candidates (84.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh3710
Picked011
Done011
Total741185

Merged error: 0.0b

Counts
85 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.8b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 105
Calls
4 calls:
45.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
17.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
18.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
131.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
135.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
134.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
04341395
110151306
227121295
350031247

prune544.0ms

Filtered
117 candidates to 92 candidates (78.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh178
Picked011
Done112
Total11810128

Merged error: 0.0b

Counts
128 → 10

regimes285.0ms

Accuracy

66.4% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 4.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04629
15029
25129
35129

end0.0ms

sample558.0ms

Algorithm
intervals
Results
307.0ms10200×body80valid

Profiling

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