Details

Time bar (total: 12.6s)

sample36.0ms

Algorithm
intervals
Results
13.0ms271×body80valid

simplify282.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.6b
(/ (* x (- y z)) (- t z))

rewrite77.0ms

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:
39.0ms
(* x (- y z))
36.0ms
(/ (* x (- y z)) (- t z))

series157.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (- y z))
104.0ms
(/ (* x (- y z)) (- t z))

simplify618.0ms

Counts
61 → 61
Iterations

Useful iterations: done (616.0ms)

IterNodesCost
0105599
1280575
21110509
done5001501

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.6b
(* x (/ (- y z) (- t z)))

rewrite76.0ms

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:
24.0ms
(/ (- y z) (- t z))
46.0ms
(* x (/ (- y z) (- t z)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- y z) (- t z))
87.0ms
(* x (/ (- y z) (- t z)))

simplify776.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
01381319
13741259
215211169
done50001169

prune395.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
4.0ms
(cbrt (- t z))
6.0ms
(cbrt (- y z))
7.0ms
(cbrt (- y z))
4.0ms
(cbrt (- y z))

series887.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (- t z))
257.0ms
(cbrt (- y z))
203.0ms
(cbrt (- y z))
226.0ms
(cbrt (- y z))

simplify946.0ms

Counts
72 → 72
Iterations

Useful iterations: done (943.0ms)

IterNodesCost
0114744
1231728
2576696
31871656
done5000604

prune372.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
1.6b
(* x (* (- y z) (/ 1 (- t z))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
12.0ms
(/ 1 (- t z))
45.0ms
(* (- y z) (/ 1 (- t z)))
62.0ms
(* x (* (- y z) (/ 1 (- t z))))

series176.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (- t z))
58.0ms
(* (- y z) (/ 1 (- t z)))
75.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify5.3s

Counts
128 → 128
Iterations

Useful iterations: done (5.3s)

IterNodesCost
01581456
14081290
229231041
done50011025

prune434.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes461.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01431
11631
done1631

end0.0ms

sample982.0ms

Algorithm
intervals
Results
428.0ms8751×body80valid