Details

Time bar (total: 14.9s)

sample19.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.5b
(/ x (- y (* z t)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(- y (* z t))
10.0ms
(/ x (- y (* z t)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- y (* z t))
40.0ms
(/ x (- y (* z t)))

simplify2.9s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
087595
1181580
2425529
31042525
42487506
done5000506

prune239.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (- y (* z t)))
2.1b
(* x (/ 1 (- y (* z t))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 95
Calls
3 calls:
6.0ms
(- y (* z t))
15.0ms
(/ 1 (- y (* z t)))
61.0ms
(* x (/ 1 (- y (* z t))))

series222.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- y (* z t))
100.0ms
(/ 1 (- y (* z t)))
78.0ms
(* x (/ 1 (- y (* z t))))

simplify3.3s

Counts
104 → 104
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01251120
1283970
2592870
31370856
43343837
done5000837

prune244.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 4 expressions with local error:

2.1b
(* x (/ (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
8.2b
(cbrt (- y (* z t)))
8.2b
(cbrt (- y (* z t)))
8.2b
(cbrt (- y (* z t)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
96×associate-*r*
80×cbrt-div
69×add-sqr-sqrt
57×cbrt-prod
53×*-un-lft-identity
51×add-cube-cbrt
50×associate-/r/
40×flip3-- flip--
32×add-exp-log
24×frac-times
13×associate-*r/ add-cbrt-cube
12×associate-*l/
11×div-exp prod-exp
7×div-inv unswap-sqr
6×pow1
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×rec-exp 1-exp
1×pow-prod-down *-commutative
Counts
4 → 175
Calls
4 calls:
130.0ms
(* x (/ (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
3.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))

series641.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* x (/ (/ 1 (* (cbrt (- y (* z t))) (cbrt (- y (* z t))))) (cbrt (- y (* z t)))))
149.0ms
(cbrt (- y (* z t)))
195.0ms
(cbrt (- y (* z t)))
195.0ms
(cbrt (- y (* z t)))

simplify1.7s

Counts
187 → 187
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03484562
19034292
221063594
done50013426

prune690.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.4b

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
7.4b
(cbrt (/ 1 (- y (* z t))))
7.4b
(cbrt (/ 1 (- y (* z t))))
7.4b
(cbrt (/ 1 (- y (* z t))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
82.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
10.0ms
(cbrt (/ 1 (- y (* z t))))
10.0ms
(cbrt (/ 1 (- y (* z t))))
10.0ms
(cbrt (/ 1 (- y (* z t))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
141.0ms
(cbrt (/ 1 (- y (* z t))))
163.0ms
(cbrt (/ 1 (- y (* z t))))
130.0ms
(cbrt (/ 1 (- y (* z t))))

simplify2.4s

Counts
114 → 114
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01692030
13761861
29001711
322431664
done50011620

prune429.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 2.4b

regimes332.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample767.0ms

Algorithm
intervals
Results
290.0ms8383×body80valid