Details

Time bar (total: 6.9s)

sample105.0ms

Algorithm
intervals
Results
47.0ms96×body1280valid
27.0ms87×body640valid
9.0ms242×body80nan
9.0ms49×body320valid
2.0ms17×body160valid
0.0ms7×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1204
2234
3234

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.8b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×expm1-log1p-u flip3-+ div-exp rem-log-exp flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify132.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0354672
11096638
24786623
35001622

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
24×prod-diff
23×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
13×unpow-prod-down
8×fma-neg
5×unpow2 sqr-pow
4×difference-of-squares
3×add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- fma-udef log1p-expm1-u associate--r+ distribute-lft-out--
Counts
1 → 52
Calls
1 calls:
10.0ms
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))

simplify138.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0203877
1600486
23825462
35001461

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))
0.6b
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
0.6b
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
64×cbrt-prod
35×*-un-lft-identity
28×difference-of-squares
18×cbrt-div
15×add-cube-cbrt
13×swap-sqr
11×pow1 associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- distribute-lft-out--
7×unpow-prod-down unpow2 sqr-pow
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 127
Calls
4 calls:
44.0ms
(* (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))
5.0ms
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
5.0ms
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
5.0ms
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))

series1.1s

Counts
4 → 12
Calls
4 calls:
280.0ms
(* (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))) (cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps))))
272.0ms
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
280.0ms
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))
273.0ms
(cbrt (- (pow eps 2) (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify119.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
02481917
18101797
236511667
350021659

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
0.6b
(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
0.6b
(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
25.9b
(/ (fma (- 1) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6) (pow eps 4)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log
6×cbrt-prod unpow-prod-down add-cbrt-cube
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×pow-pow pow1/3
1×cbrt-undiv pow-to-exp frac-2neg div-exp pow-exp clear-num fma-udef div-inv sqr-pow
Counts
4 → 75
Calls
4 calls:
0.0ms
(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
2.0ms
(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
0.0ms
(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
2.0ms
(/ (fma (- 1) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6) (pow eps 4)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps))
149.0ms
(pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6)
111.0ms
(cbrt (fma (/ eps 1.0) (/ eps 1.0) eps))
141.0ms
(/ (fma (- 1) (pow (cbrt (fma (/ eps 1.0) (/ eps 1.0) eps)) 6) (pow eps 4)) (fma eps eps (fma (/ eps 1.0) (/ eps 1.0) eps)))

simplify56.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04191121
115431031
25002990

prune314.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes36.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s3470×body1280valid
708.0ms2464×body640valid
309.0ms8027×body80nan
228.0ms1264×body320valid
66.0ms610×body160valid
9.0ms192×body80valid