Details

Time bar (total: 5.7s)

sample25.0ms

Algorithm
intervals
Results
11.0ms270×body80valid
1.0ms3×body640valid
0.0ms1×body1280valid
0.0ms2×body320valid
0.0ms2×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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.1b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.8b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite31.0ms

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:
3.0ms
(tanh (/ t y))
9.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
14.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series807.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(tanh (/ t y))
234.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
222.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
263.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05431798
121281400
250011382

prune288.0ms

Filtered
126 candidates to 87 candidates (31.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh011
Picked011
Done000
Total1226128

Merged error: 0.3b

Counts
128 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.8b
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)

rewrite6.0ms

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)

series844.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
179.0ms
(cbrt z)
188.0ms
(cbrt z)
292.0ms
(fma y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))) x)

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0113301
1303264
21077255
35002251

prune382.0ms

Filtered
61 candidates to 53 candidates (13.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh044
Picked101
Done011
Total61667

Merged error: 0.3b

Counts
67 → 6

localize11.0ms

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
42×*-un-lft-identity
30×add-cube-cbrt
27×prod-diff
24×fma-def
23×associate-*l*
18×frac-sub
13×associate-*r* tanh-def
11×distribute-rgt-in distribute-lft-in associate-*r/
8×add-log-exp
6×pow1 add-exp-log add-cbrt-cube
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg *-commutative distribute-lft-out distribute-lft-out-- difference-of-squares
2×flip3-- flip--
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log cbrt-unprod flip-+
Counts
4 → 144
Calls
4 calls:
3.0ms
(tanh (/ t y))
12.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
26.0ms
(+ (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) x)
14.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series739.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(tanh (/ t y))
230.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
254.0ms
(+ (* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z) x)
173.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05961887
124051487
250011484

prune332.0ms

Filtered
156 candidates to 110 candidates (29.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1524156
Fresh404
Picked101
Done101
Total1584162

Merged error: 0.0b

Counts
162 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))) z)
0.0b
(+ (* (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))) z) x)
4.4b
(* y (tanh (/ t y)))
4.8b
(* y (- (tanh (/ x y))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
57×associate-*l*
55×*-un-lft-identity
28×distribute-lft-out
27×add-sqr-sqrt associate-*r*
24×associate-*r/
22×fma-def
19×add-cube-cbrt
12×distribute-neg-frac
11×associate-*l/
10×pow1 add-exp-log add-cbrt-cube
9×frac-add
8×*-commutative tanh-def
6×add-log-exp
5×distribute-rgt-neg-in
4×expm1-log1p-u log1p-expm1-u unswap-sqr
3×distribute-lft-neg-in pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-out flip3-+ flip-+
1×+-commutative neg-mul-1 sum-log distribute-rgt-neg-out
Counts
4 → 136
Calls
4 calls:
27.0ms
(* (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))) z)
38.0ms
(+ (* (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))) z) x)
6.0ms
(* y (tanh (/ t y)))
8.0ms
(* y (- (tanh (/ x y))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))) z)
258.0ms
(+ (* (+ (* y (tanh (/ t y))) (* y (- (tanh (/ x y))))) z) x)
72.0ms
(* y (tanh (/ t y)))
73.0ms
(* y (- (tanh (/ x y))))

simplify79.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05881081
126001012
25001992

prune326.0ms

Filtered
148 candidates to 110 candidates (25.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1462148
Fresh213
Picked101
Done000
Total1493152

Merged error: 0.0b

Counts
152 → 3

regimes77.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1229
2239
3239

end0.0ms

sample618.0ms

Algorithm
intervals
Results
351.0ms8347×body80valid
15.0ms88×body640valid
11.0ms47×body1280valid
8.0ms64×body320valid
4.0ms49×body160valid