Details

Time bar (total: 17.9s)

sample53.0ms

Algorithm
intervals
Results
27.0ms269×body80valid
1.0ms2×body1280valid
1.0ms3×body320valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify2.1s

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: 5.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.6b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
9×frac-sub
8×pow1 add-exp-log add-cbrt-cube
7×tanh-def
6×add-sqr-sqrt *-un-lft-identity
5×associate-*r* add-log-exp
4×distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
2.0ms
(tanh (/ t y))
9.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
85.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series841.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(tanh (/ t y))
473.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
244.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts
69 → 69
Iterations

Useful iterations: 2 (713.0ms)

IterNodesCost
01671337
14961279
220601199
done50001199

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b
(tanh (/ t y))
0.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
4.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×sub-neg
9×*-un-lft-identity
8×associate-+r+
7×add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
16.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
3.0ms
(tanh (/ t y))
49.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
117.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
583.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
164.0ms
(tanh (/ t y))
334.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
195.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.0s

Counts
113 → 113
Iterations

Useful iterations: 2 (335.0ms)

IterNodesCost
02032164
15432103
219381981
done50021981

prune443.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.1b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite470.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
34×pow1 add-exp-log
32×distribute-rgt-in distribute-lft-in
22×add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
18×frac-sub
12×sub-neg tanh-def
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*l* add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
141.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
315.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt z)
340.0ms
(cbrt z)
395.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y)))))
284.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.4s

Counts
129 → 129
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02163134
16243105
225612303
done50011928

prune495.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.7b
(* (- (tanh (/ t y)) (tanh (/ x y))) z)
2.1b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) z)))
2.3b
(* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) z))

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/ associate-*l/
32×pow1 add-exp-log
27×frac-sub
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
13×add-sqr-sqrt
12×associate-*l*
11×*-un-lft-identity
9×add-cube-cbrt
6×cbrt-prod
5×associate-*r*
4×add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3 distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt y)
58.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) z)
253.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) z)))
122.0ms
(* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) z))

series1.9s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt y)
534.0ms
(* (- (tanh (/ t y)) (tanh (/ x y))) z)
396.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) z)))
725.0ms
(* (cbrt y) (* (- (tanh (/ t y)) (tanh (/ x y))) z))

simplify1.5s

Counts
125 → 125
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02092902
15952873
224602397
done50012273

prune610.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample1.4s

Algorithm
intervals
Results
852.0ms8336×body80valid
31.0ms108×body640valid
23.0ms45×body1280valid
12.0ms50×body320valid
5.0ms35×body160valid