Details

Time bar (total: 12.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
1107
2177
3217
done217

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite8.0ms

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:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- y (* z t))
40.0ms
(/ x (- y (* z t)))

simplify937.0ms

Counts
57 → 57
Iterations

Useful iterations: done (935.0ms)

IterNodesCost
087595
1187580
2541529
31782525
done5000509

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.8b
(/ 1 (/ (- y (* z t)) x))
2.9b
(/ (- y (* z t)) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 130
Calls
3 calls:
2.0ms
(- y (* z t))
7.0ms
(/ 1 (/ (- y (* z t)) x))
6.0ms
(/ (- y (* z t)) x)

series199.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- y (* z t))
115.0ms
(/ 1 (/ (- y (* z t)) x))
50.0ms
(/ (- y (* z t)) x)

simplify3.7s

Counts
139 → 139
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01892007
14581820
215751573
345181551
done50001551

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (* t (- z)))
0.8b
(/ 1 (/ (+ y (* t (- z))) x))
2.9b
(/ (+ y (* t (- z))) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv distribute-rgt-neg-out
3×expm1-log1p-u fma-def log1p-expm1-u
2×rec-exp frac-2neg flip3-+ 1-exp div-sub unsub-neg clear-num flip-+ associate-/l/
1×+-commutative pow-flip sum-log associate-/r/ inv-pow
Counts
3 → 129
Calls
3 calls:
2.0ms
(+ y (* t (- z)))
7.0ms
(/ 1 (/ (+ y (* t (- z))) x))
8.0ms
(/ (+ y (* t (- z))) x)

series203.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ y (* t (- z)))
122.0ms
(/ 1 (/ (+ y (* t (- z))) x))
47.0ms
(/ (+ y (* t (- z))) x)

simplify3.6s

Counts
138 → 138
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01792131
14221773
214701531
343481501
done50001501

prune250.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (/ 1 (* (cbrt (- y (* t z))) (cbrt (- y (* t z))))) (/ (cbrt (+ y (* t (- z)))) x))
7.2b
(cbrt (- y (* t z)))
7.2b
(cbrt (- y (* t z)))
7.2b
(cbrt (+ y (* t (- z))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
687×times-frac
282×cbrt-div
261×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
185×associate-/r/
153×cbrt-prod
140×flip3-- flip--
92×frac-times
49×add-exp-log
46×associate-*r/ associate-*l/
40×div-inv
29×div-exp
22×associate-/r*
18×add-cbrt-cube
15×associate-/l*
13×cbrt-undiv
6×prod-exp
4×pow1 expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-unprod
1×frac-2neg flip3-+ clear-num flip-+ associate-/l/
Counts
4 → 446
Calls
4 calls:
33.0ms
(/ (/ 1 (* (cbrt (- y (* t z))) (cbrt (- y (* t z))))) (/ (cbrt (+ y (* t (- z)))) x))
2.0ms
(cbrt (- y (* t z)))
1.0ms
(cbrt (- y (* t z)))
2.0ms
(cbrt (+ y (* t (- z))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(/ (/ 1 (* (cbrt (- y (* t z))) (cbrt (- y (* t z))))) (/ (cbrt (+ y (* t (- z)))) x))
116.0ms
(cbrt (- y (* t z)))
120.0ms
(cbrt (- y (* t z)))
122.0ms
(cbrt (+ y (* t (- z))))

simplify656.0ms

Counts
458 → 458
Iterations

Useful iterations: done (630.0ms)

IterNodesCost
073721663
1217119568
done500019414

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes210.0ms

Accuracy

37% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 2.9b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
11924
done1924

end0.0ms

sample412.0ms

Algorithm
intervals
Results
199.0ms8394×body80valid