Details

Time bar (total: 7.4s)

sample51.0ms

Algorithm
intervals
Results
24.0ms470×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0339
1879
22608
38728
424368
549578
650018

prune12.0ms

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: 0.3b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (* z t))
0.0b
(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
5.1b
(* (- (fma c b a)) (* c i))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
13×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out associate-*r* *-commutative fma-udef
1×neg-mul-1 distribute-rgt-neg-out
Counts
4 → 72
Calls
4 calls:
1.0ms
(fma x y (* z t))
7.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
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))

series857.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma x y (* z t))
68.0ms
(* 2.0 (* (- (fma c b a)) (* c i)))
690.0ms
(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
62.0ms
(* (- (fma c b a)) (* c i))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0284526
11170437
25002427

prune287.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New76884
Fresh011
Picked011
Done000
Total761086

Merged error: 0.3b

Counts
86 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (fma c b a))
0.8b
(cbrt (fma c b a))
2.2b
(* (cbrt (fma c b a)) (* c i))
2.8b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
14×add-cbrt-cube
12×associate-*l*
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
1.0ms
(cbrt (fma c b a))
6.0ms
(* (cbrt (fma c b a)) (* c i))
8.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (fma c b a))
117.0ms
(cbrt (fma c b a))
191.0ms
(* (cbrt (fma c b a)) (* c i))
58.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0296680
11143557
25001479

prune389.0ms

Filtered
88 candidates to 69 candidates (78.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New85388
Fresh178
Picked011
Done011
Total861298

Merged error: 0.3b

Counts
98 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (- (fma c b a)) (* c i))
11.6b
(cbrt (* (- (fma c b a)) (* c i)))
11.6b
(cbrt (* (- (fma c b a)) (* c i)))
11.6b
(cbrt (* (- (fma c b a)) (* c i)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in pow1/3 pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-out neg-mul-1 associate-*r* *-commutative
Counts
4 → 61
Calls
4 calls:
6.0ms
(* (- (fma c b a)) (* c i))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))
4.0ms
(cbrt (* (- (fma c b a)) (* c i)))

series758.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (- (fma c b a)) (* c i))
227.0ms
(cbrt (* (- (fma c b a)) (* c i)))
228.0ms
(cbrt (* (- (fma c b a)) (* c i)))
236.0ms
(cbrt (* (- (fma c b a)) (* c i)))

simplify125.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0253495
1882441
24363417
35001417

prune356.0ms

Filtered
73 candidates to 60 candidates (82.2%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh099
Picked011
Done022
Total731285

Merged error: 0.3b

Counts
85 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (fma c b a))
1.2b
(* (cbrt (cbrt (fma c b a))) (* c i))
1.2b
(* (* (cbrt (cbrt (fma c b a))) (cbrt (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i)))
2.8b
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (* (cbrt (cbrt (fma c b a))) (cbrt (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
37×add-cbrt-cube
16×associate-*l*
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* *-commutative
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt (fma c b a))
7.0ms
(* (cbrt (cbrt (fma c b a))) (* c i))
14.0ms
(* (* (cbrt (cbrt (fma c b a))) (cbrt (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i)))
18.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (* (cbrt (cbrt (fma c b a))) (cbrt (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (fma c b a))
206.0ms
(* (cbrt (cbrt (fma c b a))) (* c i))
205.0ms
(* (* (cbrt (cbrt (fma c b a))) (cbrt (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i)))
70.0ms
(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (* (cbrt (cbrt (fma c b a))) (cbrt (cbrt (fma c b a)))) (* (cbrt (cbrt (fma c b a))) (* c i))))

simplify81.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
04731788
120281211
25001981

prune415.0ms

Filtered
120 candidates to 73 candidates (60.8%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1191120
Fresh178
Picked011
Done033
Total12012132

Merged error: 0.3b

Counts
132 → 12

regimes1.2s

Accuracy

0% (0.9b remaining)

Error of 1.9b against oracle of 1.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1318
2418
3418

end0.0ms

sample1.4s

Algorithm
intervals
Results
743.0ms15150×body80valid