Details

Time bar (total: 7.6s)

sample194.0ms

Algorithm
intervals
Results
9.0ms262×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b
(/ (- (* y z) x) (- (* t z) x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
3.0ms
(- (* y z) x)
17.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
60.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms
(/ (- (* y z) x) (- (* t z) x))

series268.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (* y z) x)
78.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
114.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04001011
11421948
25001947

prune281.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.5b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.7b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.0b
(/ (- (* t z) x) (- (* y z) x))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 173
Calls
4 calls:
3.0ms
(- (* y z) x)
95.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
13.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.0ms
(/ (- (* t z) x) (- (* y z) x))

series294.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (* y z) x)
141.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
79.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
55.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify72.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06232024
128651860
250011781

prune345.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (- (* y z) x))
0.5b
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
1.0b
(/ 1 (- (* t z) x))
10.3b
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
547×times-frac
274×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
71×associate-/r/
54×add-exp-log
37×div-exp
36×div-inv
34×flip3-- flip--
25×associate-/r* associate-/l*
22×add-cbrt-cube
11×cbrt-undiv
10×rec-exp 1-exp distribute-lft-out
6×pow1
4×frac-2neg clear-num add-log-exp
3×associate-/l/
2×pow-flip flip3-+ flip-+ inv-pow
Counts
4 → 393
Calls
4 calls:
6.0ms
(/ 1 (- (* y z) x))
257.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
6.0ms
(/ 1 (- (* t z) x))
25.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (- (* y z) x))
146.0ms
(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
22.0ms
(/ 1 (- (* t z) x))
85.0ms
(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016985909
150015384

prune783.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ (/ 1 (- (* y z) x)) (/ (cbrt 1) (cbrt (- (* t z) x))))
10.8b
(cbrt (- (* t z) x))
10.8b
(cbrt (- (* t z) x))
10.8b
(cbrt (- (* t z) x))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
1593×times-frac
708×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
585×cbrt-prod
119×associate-/r/
62×flip3-- flip--
60×div-inv
42×associate-/r*
38×cbrt-div
26×add-exp-log
16×div-exp
15×associate-/l*
12×add-cbrt-cube
8×cbrt-undiv
4×pow1 add-log-exp
3×pow1/3
2×rec-exp 1-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 750
Calls
4 calls:
39.0ms
(/ (/ 1 (- (* y z) x)) (/ (cbrt 1) (cbrt (- (* t z) x))))
2.0ms
(cbrt (- (* t z) x))
2.0ms
(cbrt (- (* t z) x))
3.0ms
(cbrt (- (* t z) x))

series578.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ (/ 1 (- (* y z) x)) (/ (cbrt 1) (cbrt (- (* t z) x))))
121.0ms
(cbrt (- (* t z) x))
114.0ms
(cbrt (- (* t z) x))
116.0ms
(cbrt (- (* t z) x))

simplify196.0ms

Algorithm
egg-herbie
Counts
762 → 762
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0332716542
1500115935

prune2.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.7b

regimes233.0ms

Accuracy

63.5% (2.4b remaining)

Error of 3.3b against oracle of 1.0b and baseline of 7.5b

bsearch88.0ms

Steps
ItersRangePoint
8
1.0027175483906062e+76
1.3424345861994201e+79
5.589683021273789e+76
8
-1.0812403351652139e+135
-8.069388505643744e+131
-1.6579298446565844e+132

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03413
13413

end0.0ms

sample522.0ms

Algorithm
intervals
Results
315.0ms8315×body80valid