Details

Time bar (total: 7.2s)

sample23.0ms

Algorithm
intervals
Results
10.0ms266×body80valid
1.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0548
11467
23377
310177
436597
550017

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.4b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite42.0ms

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:
1.0ms
(tanh (/ t y))
8.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
28.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series773.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(tanh (/ t y))
225.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
249.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
214.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05461798
121801400
250031397

prune577.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
54×prod-diff
53×*-un-lft-identity
47×add-cube-cbrt
33×distribute-rgt-in distribute-lft-in associate-*r/
27×frac-sub
18×tanh-def
15×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×pow1/3
Counts
4 → 178
Calls
4 calls:
1.0ms
(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
25.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
27.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
25.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
387.0ms
(cbrt (fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x))
212.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
215.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
219.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04872998
118722219
250012212

prune647.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.1b
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
54×*-un-lft-identity prod-diff
48×add-cube-cbrt
33×distribute-rgt-in distribute-lft-in associate-*r/
27×frac-sub
18×tanh-def
15×associate-*r*
12×associate-*l*
10×pow1 add-exp-log
9×add-cbrt-cube
7×cbrt-prod
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 182
Calls
4 calls:
1.0ms
(cbrt z)
30.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
25.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
25.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series951.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt z)
330.0ms
(* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))
219.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
215.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify77.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05702987
125402222
250022218

prune824.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
4.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
27×prod-diff
24×add-cube-cbrt
18×frac-sub
14×tanh-def
11×distribute-rgt-in distribute-lft-in associate-*r/
9×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 116
Calls
4 calls:
1.0ms
(tanh (/ x y))
1.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
30.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ x y))
80.0ms
(tanh (/ t y))
217.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
157.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06501841
128801440
250021437

prune364.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample571.0ms

Algorithm
intervals
Results
321.0ms8266×body80valid
18.0ms120×body640valid
9.0ms76×body320valid
7.0ms35×body1280valid
2.0ms28×body160valid