Details

Time bar (total: 4.4s)

analyze530.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms13×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.2b
(* (/ (- x y) (- z y)) 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
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series31.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
22.0ms
(* (/ (- x y) (- z y)) t)

simplify95.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune109.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh000
Picked101
Done000
Total1045109

Merged error: 0b

Counts
109 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.3b
(/ 1 (/ (- z y) (- x y)))
2.2b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
27.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series57.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z y) (- x y))
16.0ms
(/ 1 (/ (- z y) (- x y)))
32.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
08742678
141882392
250012169

prune215.0ms

Filtered
178 candidates to 335 candidates (-88.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3341335
Fresh134
Picked011
Done000
Total3355340

Merged error: 0b

Counts
340 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ t (/ (- z y) (- x y)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z y) (- x y))
25.0ms
(/ t (/ (- z y) (- x y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06331784
128631733
250011730

prune139.0ms

Filtered
134 candidates to 200 candidates (-49.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh033
Picked011
Done011
Total2005205

Merged error: 0b

Counts
205 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (/ (- x y) (- z y)) t)
6.6b
(cbrt (* (/ (- x y) (- z y)) t))
6.6b
(cbrt (* (/ (- x y) (- z y)) t))
6.6b
(cbrt (* (/ (- x y) (- z y)) t))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*l*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 80
Calls
4 calls:
20.0ms
(* (/ (- x y) (- z y)) t)
14.0ms
(cbrt (* (/ (- x y) (- z y)) t))
14.0ms
(cbrt (* (/ (- x y) (- z y)) t))
14.0ms
(cbrt (* (/ (- x y) (- z y)) t))

series273.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ (- x y) (- z y)) t)
79.0ms
(cbrt (* (/ (- x y) (- z y)) t))
79.0ms
(cbrt (* (/ (- x y) (- z y)) t))
94.0ms
(cbrt (* (/ (- x y) (- z y)) t))

simplify36.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0379695
11135635
25001629

prune115.0ms

Filtered
71 candidates to 92 candidates (-29.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done022
Total92597

Merged error: 0b

Counts
97 → 5

regimes383.0ms

Accuracy

-4.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch896.0ms

Steps
ItersRangePoint
10
1.4141720319179223e-257
2.6565334515950976e-246
1.2070565851862635e-250
7
-4.560523936301779e-14
-4.031955890346015e-16
-6.331642673845817e-16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

analyze518.0ms

Algorithm
search

sample473.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
17.0ms599×body80invalid

Profiling

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