Details

Time bar (total: 19.6s)

sample24.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3699
41809
53499
65769
79139
811229
914079
1014659
1114699
done14699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.8b
(/ x (* (- y z) (- t z)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
48.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

series242.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (- y z) (- t z))
189.0ms
(/ x (* (- y z) (- t z)))

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01761460
13841275
213771097
done50011069

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
19.0ms
(/ x (- y z))
45.0ms
(/ (/ x (- y z)) (- t z))

series245.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ x (- y z))
188.0ms
(/ (/ x (- y z)) (- t z))

simplify1.8s

Counts
195 → 195
Iterations

Useful iterations: 2 (796.0ms)

IterNodesCost
02683384
16423198
216673122
done50003122

prune604.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.9b
(/ (/ x (cbrt (- y z))) (- t z))
1.1b
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
590×times-frac
462×add-sqr-sqrt
431×*-un-lft-identity
235×add-cube-cbrt
178×cbrt-prod
156×associate-*r*
96×distribute-lft-out-- difference-of-squares
87×add-exp-log
38×cbrt-div
36×div-exp
35×add-cbrt-cube
34×associate-/r/
30×prod-exp associate-/l*
21×flip3-- flip--
18×cbrt-undiv
15×associate-*l*
14×div-inv
12×cbrt-unprod unswap-sqr
6×pow1 rec-exp 1-exp
5×frac-times associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ associate-*l/
2×pow1/3
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 465
Calls
4 calls:
8.0ms
(cbrt (- y z))
7.0ms
(cbrt (- y z))
45.0ms
(/ (/ x (cbrt (- y z))) (- t z))
286.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt (- y z))
248.0ms
(cbrt (- y z))
301.0ms
(/ (/ x (cbrt (- y z))) (- t z))
314.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (cbrt (- y z))) (- t z)))

simplify1.3s

Counts
477 → 477
Iterations

Useful iterations: done (1.3s)

IterNodesCost
057511151
1168810371
done50009663

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* x (/ 1 (- y z)))
2.5b
(/ (* x (/ 1 (- y z))) (- t z))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
37×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r*
9×distribute-lft-out-- difference-of-squares
8×prod-exp
6×pow1 cbrt-undiv associate-/r/
4×cbrt-unprod associate-/l*
3×expm1-log1p-u rec-exp flip3-- 1-exp associate-*l* flip-- log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 124
Calls
3 calls:
13.0ms
(/ 1 (- y z))
45.0ms
(* x (/ 1 (- y z)))
51.0ms
(/ (* x (/ 1 (- y z))) (- t z))

series306.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (- y z))
39.0ms
(* x (/ 1 (- y z)))
223.0ms
(/ (* x (/ 1 (- y z))) (- t z))

simplify3.1s

Counts
133 → 133
Iterations

Useful iterations: 2 (246.0ms)

IterNodesCost
01671412
13841139
2983991
33719991
done5000991

prune301.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes264.0ms

Accuracy

67.7% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01647
12039
done2039

end0.0ms

sample917.0ms

Algorithm
intervals
Results
382.0ms8443×body80valid