Details

Time bar (total: 17.5s)

sample33.0ms

Algorithm
intervals
Results
16.0ms263×body80valid
1.0ms5×body640valid
1.0ms4×body320valid
0.0ms2×body160valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
15415
214215
332215
494415
5313415
done500015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
6.5b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite119.0ms

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))
22.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(tanh (/ x y))
84.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series761.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(tanh (/ t y))
262.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
102.0ms
(tanh (/ x y))
262.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.3s

Counts
90 → 90
Iterations

Useful iterations: 2 (371.0ms)

IterNodesCost
01651855
15121823
221161729
done50021729

prune354.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(tanh (/ x y))
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite189.0ms

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:
20.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(tanh (/ x y))
69.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
90.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
332.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
121.0ms
(tanh (/ x y))
306.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
261.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify952.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
01952513
15532486
219902350
done50002350

prune413.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
2.0b
(* (tanh (/ t y)) z)
2.8b
(* (- (tanh (/ x y))) z)
3.9b
(* y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/
18×add-sqr-sqrt
16×associate-*l*
12×add-cube-cbrt *-un-lft-identity distribute-neg-frac
11×associate-*r/
10×pow1 add-exp-log associate-*r* add-cbrt-cube
9×frac-add tanh-def
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-neg-out distribute-rgt-in neg-mul-1 distribute-rgt-out distribute-lft-in flip3-+ flip-+
Counts
4 → 92
Calls
4 calls:
4.0ms
(tanh (/ x y))
21.0ms
(* (tanh (/ t y)) z)
29.0ms
(* (- (tanh (/ x y))) z)
90.0ms
(* y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))

series573.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(tanh (/ x y))
117.0ms
(* (tanh (/ t y)) z)
119.0ms
(* (- (tanh (/ x y))) z)
231.0ms
(* y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02051556
16311469
224901360
done50001356

prune496.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.6b

localize64.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (- (tanh (/ x y))) z)
5.1b
(cbrt (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))
5.1b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
5.1b
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
22×associate-*r/
21×associate-*l/
19×tanh-def
18×frac-sub
12×distribute-neg-frac
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity frac-add
6×pow1 add-exp-log cbrt-prod add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow1/3 associate-*r*
2×flip3-- flip--
1×distribute-lft-neg-out neg-mul-1 distribute-rgt-out flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 92
Calls
4 calls:
28.0ms
(* (- (tanh (/ x y))) z)
21.0ms
(cbrt (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))
36.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
41.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series2.6s

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (- (tanh (/ x y))) z)
724.0ms
(cbrt (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)))
868.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
800.0ms
(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.9s

Counts
104 → 104
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03143296
18713164
227813030
done50012989

prune866.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

regimes254.0ms

Accuracy

0% (1.9b remaining)

Error of 2.5b against oracle of 0.6b and baseline of 2.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02045
13045
23445
33545
done3545

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s8312×body80valid
64.0ms98×body640valid
25.0ms49×body1280valid
14.0ms61×body320valid
9.0ms31×body160valid