Details

Time bar (total: 6.0s)

sample26.0ms

Algorithm
intervals
Results
12.0ms261×body80valid
1.0ms2×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0548
11467
23377
310177
436597
550017

prune8.0ms

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: 1.5b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.1b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite18.0ms

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 associate-*r/
9×frac-sub
8×tanh-def
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×sub-neg
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
2.0ms
(tanh (/ x y))
2.0ms
(tanh (/ t y))
11.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series612.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ x y))
79.0ms
(tanh (/ t y))
213.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
243.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04741186
11938917
25002917

prune244.0ms

Filtered
101 candidates to 72 candidates (71.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New974101
Fresh011
Picked011
Done000
Total976103

Merged error: 1.2b

Counts
103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
380.0ms
(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
241.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
240.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
243.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify119.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0143502
1350440
21053434
34303433
45001433

prune209.0ms

Filtered
55 candidates to 51 candidates (92.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh134
Picked101
Done011
Total54761

Merged error: 1.2b

Counts
61 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series966.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
242.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
239.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
243.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
069428
1184368
2531368
32422368
45002368

prune219.0ms

Filtered
52 candidates to 48 candidates (92.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh055
Picked101
Done011
Total52759

Merged error: 1.2b

Counts
59 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series997.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
249.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
244.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
252.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
069428
1184368
2531368
32422368
45002368

prune233.0ms

Filtered
52 candidates to 48 candidates (92.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh055
Picked011
Done011
Total52759

Merged error: 1.2b

Counts
59 → 7

regimes189.0ms

Accuracy

0% (1.2b remaining)

Error of 2.1b against oracle of 0.9b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample673.0ms

Algorithm
intervals
Results
410.0ms8310×body80valid
16.0ms89×body640valid
13.0ms51×body1280valid
7.0ms52×body320valid
4.0ms43×body160valid