Details

Time bar (total: 9.2s)

sample23.0ms

Algorithm
intervals
Results
11.0ms276×body80valid
0.0ms2×body1280valid
0.0ms3×body320valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
4.7b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
8×add-log-exp
5×add-cube-cbrt sub-neg associate-*r*
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×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 → 83
Calls
4 calls:
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms
(tanh (/ t y))
24.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series807.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
223.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
83.0ms
(tanh (/ t y))
162.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05841136
126581079
250021079

prune319.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ t y))
0.8b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.4b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
19×tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
7×add-cube-cbrt sub-neg
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms
(tanh (/ t y))
22.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
42.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series686.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
83.0ms
(tanh (/ t y))
214.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
160.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05391404
123341324
250031324

prune374.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

3.4b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.1b
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
88×associate-*r/
36×frac-sub
33×cbrt-div
24×tanh-def
9×pow1 add-exp-log add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×sub-neg flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 97
Calls
4 calls:
39.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
30.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
28.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
28.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
153.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
369.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
376.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
384.0ms
(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05651972
120151876
250031858

prune724.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
2.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.8b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
297×cbrt-div
243×frac-sub
162×tanh-def
154×associate-*r/
121×frac-times
27×flip3-- flip--
16×pow1 add-exp-log
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
12×add-cbrt-cube
11×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt
4×add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 237
Calls
4 calls:
119.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.5s

Counts
4 → 12
Calls
4 calls:
389.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
356.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
362.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
361.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify133.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
014818066
140287926
250027908

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes160.0ms

Accuracy

0% (1.3b remaining)

Error of 1.9b against oracle of 0.6b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample593.0ms

Algorithm
intervals
Results
332.0ms8287×body80valid
15.0ms94×body640valid
10.0ms85×body320valid
8.0ms38×body1280valid
2.0ms32×body160valid