Details

Time bar (total: 13.8s)

sample23.0ms

Algorithm
intervals
Results
10.0ms258×body80valid
1.0ms3×body1280valid
0.0ms2×body640valid
0.0ms2×body160valid

simplify980.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01215
15415
214614
331914
498014
5330814
done500114

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.4b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite40.0ms

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:
1.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
26.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series780.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(tanh (/ t y))
228.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
217.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
254.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify736.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
02173259
15572726
221192366
done50002366

prune368.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
1.0b
(fma y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)) x)
1.6b
(* (tanh (/ t y)) z)
1.7b
(* (- (tanh (/ x y))) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
6×associate-*r* associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-neg-frac tanh-def
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-neg-out neg-mul-1 fma-udef
Counts
4 → 76
Calls
4 calls:
1.0ms
(tanh (/ t y))
0.0ms
(fma y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)) x)
6.0ms
(* (tanh (/ t y)) z)
9.0ms
(* (- (tanh (/ x y))) z)

series538.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(tanh (/ t y))
250.0ms
(fma y (+ (* (tanh (/ t y)) z) (* (- (tanh (/ x y))) z)) x)
101.0ms
(* (tanh (/ t y)) z)
104.0ms
(* (- (tanh (/ x y))) z)

simplify422.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
0143953
1342911
21198814
done5000814

prune300.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt *-un-lft-identity prod-diff
23×add-cube-cbrt
18×frac-sub
13×tanh-def
11×distribute-rgt-in distribute-lft-in associate-*r/
8×pow1 add-exp-log add-cbrt-cube
5×associate-*r* add-log-exp
3×expm1-log1p-u sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
3 → 104
Calls
3 calls:
1.0ms
(tanh (/ t y))
7.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
28.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series473.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(tanh (/ t y))
224.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
167.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify931.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
02093221
16442684
226862320
done50012320

prune312.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* (tanh (/ x y)) 0) (* y z))
8.1b
(cbrt (tanh (/ t y)))
8.1b
(cbrt (tanh (/ t y)))
8.1b
(cbrt (tanh (/ t y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×cbrt-prod cbrt-div
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×expm1-log1p-u log1p-expm1-u tanh-def add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
17.0ms
(* (* (tanh (/ x y)) 0) (* y z))
1.0ms
(cbrt (tanh (/ t y)))
1.0ms
(cbrt (tanh (/ t y)))
2.0ms
(cbrt (tanh (/ t y)))

series538.0ms

Counts
4 → 12
Calls
4 calls:
1.0ms
(* (* (tanh (/ x y)) 0) (* y z))
180.0ms
(cbrt (tanh (/ t y)))
180.0ms
(cbrt (tanh (/ t y)))
176.0ms
(cbrt (tanh (/ t y)))

simplify6.1s

Counts
87 → 87
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
01341135
1337765
21230707
done5001707

prune391.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes142.0ms

Accuracy

0% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01932
12332
done2332

end0.0ms

sample609.0ms

Algorithm
intervals
Results
332.0ms8303×body80valid
12.0ms77×body640valid
12.0ms53×body1280valid
7.0ms62×body320valid
3.0ms43×body160valid