Details

Time bar (total: 20.3s)

sample40.0ms

Algorithm
intervals
Results
19.0ms267×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
01215
15415
214714
333414
4101214
5484414
done500014

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
1.0b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite110.0ms

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:
4.0ms
(tanh (/ x y))
27.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
70.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
163.0ms
(tanh (/ x y))
358.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
438.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
378.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts
126 → 126
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02213259
15932726
224092368
done50012137

prune518.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
54×prod-diff
52×*-un-lft-identity
46×add-cube-cbrt
33×distribute-rgt-in distribute-lft-in associate-*r/
27×frac-sub
18×tanh-def
15×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×fma-udef
Counts
4 → 175
Calls
4 calls:
1.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
67.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
87.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
84.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
388.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
337.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
306.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
329.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.4s

Counts
187 → 187
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01855298
14654275
218703581
done50013125

prune990.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize22.0ms

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))))

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
27×prod-diff
24×add-cube-cbrt
18×frac-sub
14×tanh-def
11×distribute-rgt-in distribute-lft-in associate-*r/
9×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
4 → 116
Calls
4 calls:
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
340.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
87.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series875.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(tanh (/ t y))
119.0ms
(tanh (/ x y))
376.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
264.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.4s

Counts
128 → 128
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02173360
16702813
237822455
done50002449

prune591.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
0.0b
(tanh (/ x y))
0.3b
(- (tanh (/ t y)) (tanh (/ x y)))
2.7b
(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff frac-sub
26×add-cube-cbrt
22×associate-*r/
19×tanh-def
11×pow1 add-exp-log distribute-rgt-in distribute-lft-in associate-*l/ add-cbrt-cube
8×associate-*r*
6×add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×sub-neg flip3-- fma-neg flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
4 → 135
Calls
4 calls:
89.0ms
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
2.0ms
(tanh (/ x y))
22.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
59.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
362.0ms
(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
160.0ms
(tanh (/ x y))
365.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
263.0ms
(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.2s

Counts
147 → 147
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02423829
16773275
231422877
done50002640

prune676.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

17% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch52.0ms

Steps
ItersRangePoint
7
7.450061160628307e+188
3.3260556452514723e+190
2.902682278233576e+190

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01927
12425
done2425

end0.0ms

sample1.3s

Algorithm
intervals
Results
797.0ms8337×body80valid
19.0ms74×body640valid
18.0ms43×body1280valid
12.0ms60×body320valid
4.0ms34×body160valid