Details

Time bar (total: 8.1s)

sample25.0ms

Algorithm
intervals
Results
9.0ms259×body80valid
1.0ms6×body640valid
0.0ms2×body1280valid
0.0ms3×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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite67.0ms

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:
14.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms
(tanh (/ t y))
47.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series729.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
76.0ms
(tanh (/ t y))
206.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
238.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05461798
121801400
250011397

prune374.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
27×frac-sub
18×tanh-def
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 88
Calls
4 calls:
0.0ms
(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
11.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
246.0ms
(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
361.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
363.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
361.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05062042
116631945
250021909

prune533.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ t y))
4.1b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
45×prod-diff
41×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
8×add-log-exp
5×sub-neg associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×fma-def fma-neg pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 142
Calls
4 calls:
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms
(tanh (/ t y))
55.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series758.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
316.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
77.0ms
(tanh (/ t y))
156.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07632264
132671740
250011733

prune438.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
6.4b
(cbrt (tanh (/ t y)))
6.4b
(cbrt (tanh (/ t y)))
6.4b
(cbrt (tanh (/ t y)))

rewrite566.0ms

Algorithm
rewrite-expression-head
Rules
441×cbrt-div
243×frac-times
236×associate-*r/
210×tanh-def
189×frac-sub
81×associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×flip3-- associate-*l* *-commutative flip--
Counts
4 → 269
Calls
4 calls:
529.0ms
(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
2.0ms
(cbrt (tanh (/ t y)))
2.0ms
(cbrt (tanh (/ t y)))
3.0ms
(cbrt (tanh (/ t y)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
156.0ms
(cbrt (tanh (/ t y)))
157.0ms
(cbrt (tanh (/ t y)))
162.0ms
(cbrt (tanh (/ t y)))

simplify116.0ms

Algorithm
egg-herbie
Counts
281 → 281
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
039879835
150019725

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes135.0ms

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.4b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622
11622

end0.0ms

sample653.0ms

Algorithm
intervals
Results
308.0ms8330×body80valid
12.0ms86×body640valid
11.0ms56×body1280valid
9.0ms57×body320valid
2.0ms26×body160valid