Details

Time bar (total: 9.5s)

sample41.0ms

Algorithm
intervals
Results
16.0ms281×body80valid

simplify320.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4819
51099
61299
71399
81509
91549
101609
111629
done1629

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.9b
(/ (* x (- y z)) (- t z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
52.0ms
(* x (- y z))
47.0ms
(/ (* x (- y z)) (- t z))

series162.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (- y z))
111.0ms
(/ (* x (- y z)) (- t z))

simplify843.0ms

Counts
61 → 61
Iterations

Useful iterations: done (840.0ms)

IterNodesCost
0105599
1280575
21110509
done5001501

prune184.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
37.0ms
(/ (- t z) (- y z))
37.0ms
(/ x (/ (- t z) (- y z)))

series262.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (- t z) (- y z))
192.0ms
(/ x (/ (- t z) (- y z)))

simplify1.6s

Counts
200 → 200
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02703488
17323308
238013172
done50003166

prune503.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
34.0ms
(/ (- y z) (- t z))
52.0ms
(* x (/ (- y z) (- t z)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- y z) (- t z))
93.0ms
(* x (/ (- y z) (- t z)))

simplify804.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (246.0ms)

IterNodesCost
01381319
13741259
215211169
done50001169

prune252.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
2.1b
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×prod-exp
26×add-cbrt-cube
15×cbrt-prod div-exp cbrt-unprod
14×add-sqr-sqrt *-un-lft-identity
9×pow1
8×add-cube-cbrt
7×cbrt-undiv
6×cbrt-div
4×rec-exp 1-exp associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r* associate-*l/ *-commutative
Counts
4 → 84
Calls
4 calls:
4.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
4.0ms
(cbrt (- t z))
397.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

series853.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt (- t z))
234.0ms
(cbrt (- t z))
207.0ms
(cbrt (- t z))
186.0ms
(* x (* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z)))))

simplify1.4s

Counts
96 → 96
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01731746
14941606
223891078
done5000914

prune292.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

-5.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch78.0ms

Steps
ItersRangePoint
8
1.232269788206419e-220
7.423988073479588e-216
8.757644994032034e-217
6
-5.5091265644956516e-263
-6.073917811005584e-264
-2.155924047883604e-263

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02037
12537
done2537

end0.0ms

sample927.0ms

Algorithm
intervals
Results
446.0ms8751×body80valid