Details

Time bar (total: 6.6s)

sample50.0ms

Algorithm
intervals
Results
23.0ms479×body80valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune16.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 2

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
6.3b
(* (- (fma c b a)) (* c i))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative fma-udef
Counts
2 → 38
Calls
2 calls:
1.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
6.0ms
(* (- (fma c b a)) (* c i))

series819.0ms

Counts
2 → 6
Calls
2 calls:
751.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
68.0ms
(* (- (fma c b a)) (* c i))

simplify130.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0202293
1771251
24196245
35001242

prune198.0ms

Filtered
44 candidates to 33 candidates (75.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New36844
Fresh101
Picked011
Done000
Total37946

Merged error: 1.2b

Counts
46 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b
(cbrt (fma c b a))
2.0b
(cbrt (fma c b a))
2.0b
(cbrt (fma c b a))
3.2b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
11×add-cbrt-cube
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in associate-*r* *-commutative
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
2.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
10.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (fma c b a))
131.0ms
(cbrt (fma c b a))
130.0ms
(cbrt (fma c b a))
66.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0264614
11075499
25001419

prune402.0ms

Filtered
78 candidates to 64 candidates (82.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh167
Picked011
Done011
Total78987

Merged error: 1.2b

Counts
87 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i)))))
6.3b
(* (- (fma c b a)) (* c i))
6.3b
(* (- (fma c b a)) (* c i))
6.3b
(* (- (fma c b a)) (* c i))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
19×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-out cbrt-prod neg-mul-1 associate-*r* *-commutative
1×pow1/3
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt (fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i)))))
6.0ms
(* (- (fma c b a)) (* c i))
6.0ms
(* (- (fma c b a)) (* c i))
6.0ms
(* (- (fma c b a)) (* c i))

series450.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i)))))
68.0ms
(* (- (fma c b a)) (* c i))
69.0ms
(* (- (fma c b a)) (* c i))
65.0ms
(* (- (fma c b a)) (* c i))

simplify131.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0253694
1874612
24347590
35003588

prune530.0ms

Filtered
109 candidates to 79 candidates (72.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh156
Picked011
Done022
Total1099118

Merged error: 1.2b

Counts
118 → 9

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* -1 (* (* (fma c b a) c) i))))
0.1b
(* (fma c b a) c)
7.3b
(* (* (fma c b a) c) i)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative
1×fma-udef unswap-sqr
Counts
3 → 50
Calls
3 calls:
1.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* -1 (* (* (fma c b a) c) i))))
4.0ms
(* (fma c b a) c)
5.0ms
(* (* (fma c b a) c) i)

series856.0ms

Counts
3 → 9
Calls
3 calls:
758.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* -1 (* (* (fma c b a) c) i))))
40.0ms
(* (fma c b a) c)
57.0ms
(* (* (fma c b a) c) i)

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0208318
1877264
25001260

prune231.0ms

Filtered
59 candidates to 41 candidates (69.5%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New57259
Fresh055
Picked011
Done033
Total571168

Merged error: 1.2b

Counts
68 → 11

regimes619.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.4s

Algorithm
intervals
Results
755.0ms14980×body80valid