Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms268×body80valid
0.0ms3×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0548
11467
23377
310177
436597
550017

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: 1.4b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.1b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
18×frac-sub
13×tanh-def
11×distribute-rgt-in distribute-lft-in associate-*r/
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg associate-*l*
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 114
Calls
4 calls:
2.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series742.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ t y))
213.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
207.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
244.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05461798
121801400
250011397

prune301.0ms

Filtered
126 candidates to 87 candidates (69.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh101
Picked011
Done000
Total1235128

Merged error: 0.7b

Counts
128 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.1b
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×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×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)

series802.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
173.0ms
(cbrt z)
176.0ms
(cbrt z)
273.0ms
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0113301
1303264
21077255
35001250

prune201.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh123
Picked101
Done011
Total62466

Merged error: 0.7b

Counts
66 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
2.2b
(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff frac-sub
26×add-cube-cbrt
22×associate-*r/
19×tanh-def
11×pow1 add-exp-log distribute-rgt-in distribute-lft-in associate-*l/ add-cbrt-cube
8×associate-*r*
6×add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×sub-neg flip3-- fma-neg flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 135
Calls
4 calls:
2.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
11.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series678.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(tanh (/ t y))
217.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
219.0ms
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
161.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify80.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06252120
127081694
250021691

prune342.0ms

Filtered
147 candidates to 100 candidates (68.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh112
Picked011
Done101
Total1483151

Merged error: 0b

Counts
151 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- t x) z) x)
0.0b
(* (- t x) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u
1×+-commutative flip3-- fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 38
Calls
2 calls:
6.0ms
(+ (* (- t x) z) x)
6.0ms
(* (- t x) z)

series55.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* (- t x) z) x)
29.0ms
(* (- t x) z)

simplify82.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0173174
1679155
23433154
35001153

prune71.0ms

Filtered
44 candidates to 34 candidates (77.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done011
Total44347

Merged error: 0b

Counts
47 → 3

regimes81.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample586.0ms

Algorithm
intervals
Results
326.0ms8299×body80valid
14.0ms95×body640valid
10.0ms52×body1280valid
6.0ms56×body320valid
3.0ms40×body160valid