Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
8.0ms309×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

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: 13.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.7b
(/ (* x (- y z)) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
7.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0299483
11416328
25001328

prune129.0ms

Filtered
77 candidates to 41 candidates (53.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69877
Fresh000
Picked101
Done000
Total70878

Merged error: 0.0b

Counts
78 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.9b
(/ x (/ y (- y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
6.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ y (- y z))
63.0ms
(/ x (/ y (- y z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
04791057
122391019
250021016

prune312.0ms

Filtered
149 candidates to 112 candidates (75.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh347
Picked011
Done000
Total1507157

Merged error: 0b

Counts
157 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.9b
(* x (/ (- y z) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
7.0ms
(/ (- y z) y)
11.0ms
(* x (/ (- y z) y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- y z) y)
56.0ms
(* x (/ (- y z) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0270409
11205378
25001377

prune151.0ms

Filtered
86 candidates to 60 candidates (69.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh145
Picked011
Done011
Total86793

Merged error: 0b

Counts
93 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
2.9b
(* x (* (- y z) (/ 1 y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
pow1
associate-*r/ associate-*l*
cbrt-unprod
frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp 1-exp un-div-inv *-commutative log1p-expm1-u add-log-exp
div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 74
Calls
2 calls:
11.0ms
(* (- y z) (/ 1 y))
11.0ms
(* x (* (- y z) (/ 1 y)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (/ 1 y))
61.0ms
(* x (* (- y z) (/ 1 y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0333393
11473326
25001314

prune125.0ms

Filtered
80 candidates to 51 candidates (63.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done022
Total80787

Merged error: 0b

Counts
87 → 7

regimes106.0ms

Accuracy

16.8% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 3.0b

bsearch75.0ms

Steps
ItersRangePoint
9
5.503067431303535e-41
2.4619343422422375e-32
8.42446531567834e-37
8
2.326436361118286e-214
1.0368744100527968e-210
2.546000932373863e-214

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196
1196

end0.0ms

sample450.0ms

Algorithm
intervals
Results
245.0ms9620×body80valid

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