Details

Time bar (total: 5.3s)

analyze893.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms21×body80invalid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
10.1b
(/ (* (- y z) t) (- a z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
6.0ms
(* (- y z) t)
13.0ms
(/ (* (- y z) t) (- a z))

series22.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- y z) t)
16.0ms
(/ (* (- y z) t) (- a z))

simplify33.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0256263
11188226
25001226

prune79.0ms

Filtered
40 candidates to 57 candidates (-42.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
11.3b
(/ (- y z) (/ (- a z) t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 flip3-- frac-2neg div-sub clear-num flip-- add-log-exp
1×associate-/r/
Counts
2 → 175
Calls
2 calls:
5.0ms
(/ (- a z) t)
11.0ms
(/ (- y z) (/ (- a z) t))

series28.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- a z) t)
22.0ms
(/ (- y z) (/ (- a z) t))

simplify69.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07021608
127591557
250021556

prune135.0ms

Filtered
119 candidates to 181 candidates (-52.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1801181
Fresh224
Picked011
Done101
Total1834187

Merged error: 0b

Counts
187 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.8b
(* (/ (- y z) (- a z)) t)

rewrite24.0ms

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 div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- y z) (- a z))
12.0ms
(* (/ (- y z) (- a z)) t)

series35.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- a z))
26.0ms
(* (/ (- y z) (- a z)) t)

simplify98.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune85.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh022
Picked011
Done011
Total1084112

Merged error: 0b

Counts
112 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
11.2b
(* (- y z) (/ t (- a z)))

rewrite23.0ms

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 frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ t (- a z))
13.0ms
(* (- y z) (/ t (- a z)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- a z))
16.0ms
(* (- y z) (/ t (- a z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0293474
11347437
25001437

prune69.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0b

Counts
93 → 4

regimes334.0ms

Accuracy

45.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.3b

bsearch1.7s

Steps
ItersRangePoint
9
1.8212028734758388e-152
9.48917299460755e-145
3.561040372164436e-149
8
-3.1932404657480623e-160
-9.718166588100565e-165
-3.926824704439784e-161

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13011

end0.0ms

analyze896.0ms

Algorithm
search

sample605.0ms

Algorithm
intervals
Results
313.0ms7997×body80valid
25.0ms709×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

Profiling

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