Details

Time bar (total: 7.2s)

sample23.0ms

Algorithm
intervals
Results
11.0ms265×body80valid
0.0ms2×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
6.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite26.0ms

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:
2.0ms
(tanh (/ t y))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ t y))
341.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
225.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
164.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify76.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05841136
126581079
250021079

prune310.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.9b

localize13.0ms

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)))
1.0b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.6b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
18×distribute-rgt-in distribute-lft-in tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
8×associate-+r+ add-log-exp
7×add-cube-cbrt
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 114
Calls
4 calls:
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
10.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
16.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series945.0ms

Counts
4 → 12
Calls
4 calls:
342.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
221.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
218.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
163.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06281534
127121452
250011452

prune375.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

3.7b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.7b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
5.4b
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite83.0ms

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:
11.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
7.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
35.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
384.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
375.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
374.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
402.0ms
(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify132.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
014818066
140297926
250037908

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* x z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* x z))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(- x (* x z))

simplify65.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
06460
119754
268353
3192253
4500253

prune29.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.3b

regimes127.0ms

Accuracy

0% (1.6b remaining)

Error of 1.9b against oracle of 0.4b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample594.0ms

Algorithm
intervals
Results
340.0ms8297×body80valid
15.0ms94×body640valid
9.0ms43×body1280valid
8.0ms64×body320valid
4.0ms47×body160valid