Details

Time bar (total: 51.4s)

sample31.0ms

Algorithm
intervals
Results
14.0ms267×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
15415
214215
332215
495915
5465615
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
5.0b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
14×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
6×add-log-exp
5×add-cube-cbrt associate-*r*
3×sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
13.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
60.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series834.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(tanh (/ t y))
117.0ms
(tanh (/ x y))
342.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
222.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01651855
15201823
225841733
done50021729

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite183.0ms

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:
3.0ms
(tanh (/ x y))
20.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
54.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
100.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series978.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(tanh (/ x y))
288.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
326.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
224.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.1s

Counts
117 → 117
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01952513
15772486
222972356
done50022350

prune514.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize44.0ms

Local error

Found 4 expressions with local error:

2.9b
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
3.1b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.1b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
3.1b
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
4785×cbrt-div
3915×frac-sub
3586×associate-*r/
3025×frac-times
2610×tanh-def
435×flip3-- flip--
275×associate-*l/
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 1823
Calls
4 calls:
2.0s
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
22.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
21.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
21.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.9s

Counts
4 → 12
Calls
4 calls:
243.0ms
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
579.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
528.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
515.0ms
(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.1s

Counts
1835 → 1835
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03960183649
done5000183576

prune30.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.5b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.7b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite463.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
34×distribute-rgt-in distribute-lft-in
32×pow1 add-exp-log
27×frac-sub
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
14×sub-neg
13×add-sqr-sqrt
11×*-un-lft-identity
10×associate-*l*
9×add-cube-cbrt
7×associate-*r*
6×cbrt-prod
4×add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3 distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt y)
53.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
106.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
292.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt y)
311.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
462.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
290.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.3s

Counts
153 → 153
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02323562
17473535
237372939
done50012707

prune573.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

regimes178.0ms

Accuracy

0% (0.7b remaining)

Error of 1.7b against oracle of 1.0b and baseline of 1.7b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01520
12320
23120
33520
done3520

end0.0ms

sample1.3s

Algorithm
intervals
Results
766.0ms8337×body80valid
18.0ms74×body640valid
16.0ms43×body1280valid
11.0ms60×body320valid
4.0ms34×body160valid