Details

Time bar (total: 39.2s)

sample85.0ms

Algorithm
intervals
Results
28.0ms274×body80valid

simplify142.0ms

Counts
1 → 1
Iterations
IterNodes
done53
553
451
345
235
126
015

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.1b
(/ (* y b) t)
4.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u
3×clear-num fma-def frac-2neg div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 116
Calls
4 calls:
18.0ms
(+ x (/ (* y z) t))
12.0ms
(/ (* y b) t)
20.0ms
(/ (* y z) t)
169.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ x (/ (* y z) t))
55.0ms
(/ (* y b) t)
61.0ms
(/ (* y z) t)
335.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify3.3s

Counts
128 → 128
Iterations
IterNodes
done5003
21797
1498
0191

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.0b

localize106.0ms

Local error

Found 4 expressions with local error:

5.4b
(/ (* (cbrt (+ x (/ (* y z) t))) (cbrt (+ x (/ (* y z) t)))) (/ (+ (+ a 1.0) (/ (* y b) t)) (cbrt (+ x (/ (* y z) t)))))
7.7b
(cbrt (+ x (/ (* y z) t)))
7.7b
(cbrt (+ x (/ (* y z) t)))
7.7b
(cbrt (+ x (/ (* y z) t)))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
111×times-frac
55×distribute-lft-out
52×cbrt-prod
43×add-sqr-sqrt add-cube-cbrt
41×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×expm1-log1p-u frac-times pow1 insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×associate-*l/ prod-exp associate-*r/ cbrt-unprod
1×clear-num frac-2neg associate-/l*
Counts
4 → 164
Calls
4 calls:
212.0ms
(/ (* (cbrt (+ x (/ (* y z) t))) (cbrt (+ x (/ (* y z) t)))) (/ (+ (+ a 1.0) (/ (* y b) t)) (cbrt (+ x (/ (* y z) t)))))
20.0ms
(cbrt (+ x (/ (* y z) t)))
20.0ms
(cbrt (+ x (/ (* y z) t)))
20.0ms
(cbrt (+ x (/ (* y z) t)))

series1.5s

Counts
4 → 12
Calls
4 calls:
377.0ms
(/ (* (cbrt (+ x (/ (* y z) t))) (cbrt (+ x (/ (* y z) t)))) (/ (+ (+ a 1.0) (/ (* y b) t)) (cbrt (+ x (/ (* y z) t)))))
456.0ms
(cbrt (+ x (/ (* y z) t)))
367.0ms
(cbrt (+ x (/ (* y z) t)))
348.0ms
(cbrt (+ x (/ (* y z) t)))

simplify4.7s

Counts
176 → 176
Iterations
IterNodes
done5004
22058
1663
0236

prune3.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.0b

localize51.0ms

Local error

Found 3 expressions with local error:

3.1b
(/ (* y b) t)
3.6b
(fma (/ z t) y x)
10.5b
(/ (fma (/ z t) y x) (+ (+ a 1.0) (/ (* y b) t)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
18×times-frac
15×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
10×add-cbrt-cube add-exp-log
8×associate-/r*
4×associate-/r/ associate-/l*
3×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ frac-add flip-+ div-inv
1×prod-exp cbrt-unprod fma-udef
Counts
3 → 77
Calls
3 calls:
14.0ms
(/ (* y b) t)
1.0ms
(fma (/ z t) y x)
83.0ms
(/ (fma (/ z t) y x) (+ (+ a 1.0) (/ (* y b) t)))

series827.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ (* y b) t)
90.0ms
(fma (/ z t) y x)
665.0ms
(/ (fma (/ z t) y x) (+ (+ a 1.0) (/ (* y b) t)))

simplify6.9s

Counts
86 → 86
Iterations
IterNodes
done5000
34972
21112
1332
0143

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.0b

localize118.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
3.6b
(fma (/ z t) y x)
10.5b
(/ (fma (/ z t) y x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
28×*-un-lft-identity add-cube-cbrt
27×add-exp-log
22×associate-*r*
20×add-cbrt-cube
14×cbrt-prod
8×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod
7×associate-*l*
6×pow1 frac-add unswap-sqr
4×expm1-log1p-u flip3-+ flip-+ insert-posit16 log1p-expm1-u add-log-exp
3×frac-times associate-/r* associate-*l/ associate-*r/ div-inv associate-/l*
1×clear-num frac-2neg pow1/3 pow-prod-down *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
2.0ms
(cbrt t)
75.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
1.0ms
(fma (/ z t) y x)
59.0ms
(/ (fma (/ z t) y x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
375.0ms
(cbrt t)
101.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
102.0ms
(fma (/ z t) y x)
691.0ms
(/ (fma (/ z t) y x) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify4.2s

Counts
137 → 137
Iterations
IterNodes
done5010
22713
1699
0253

prune2.3s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.0b

regimes3.0s

Accuracy

59.1% (3.0b remaining)

Error of 13.3b against oracle of 10.3b and baseline of 17.6b

bsearch250.0ms

Steps
ItersRangePoint
9
6.579902534134689e-26
7.833996301943674e-21
2.8948198490231547e-23
8
-1.0878996898722994e-50
-2.9970051833289447e-54
-1.9251400214978388e-52

simplify14.0ms

Iterations
IterNodes
done43
143
033

end0.0ms

sample1.9s

Algorithm
intervals
Results
649.0ms8280×body80valid