Details

Time bar (total: 2.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
9.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ (- y z) 1.0))
43.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0262303
11268253
25002253

prune111.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53457
Fresh000
Picked011
Done000
Total53558

Merged error: 0.0b

Counts
58 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
1.6b
(/ x (/ z (+ (- y z) 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
11.0ms
(/ z (+ (- y z) 1.0))
12.0ms
(/ x (/ z (+ (- y z) 1.0)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ z (+ (- y z) 1.0))
42.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04631195
121431142
250011140

prune292.0ms

Filtered
149 candidates to 98 candidates (65.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1481149
Fresh123
Picked101
Done011
Total1504154

Merged error: 0b

Counts
154 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
1.8b
(* x (/ (+ (- y z) 1.0) z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (+ (- y z) 1.0) z)
13.0ms
(* x (/ (+ (- y z) 1.0) z))

series69.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
44.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0274497
11191450
25001447

prune365.0ms

Filtered
86 candidates to 52 candidates (60.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done011
Total86490

Merged error: 0b

Counts
90 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
7.6b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
522×*-un-lft-identity
292×add-sqr-sqrt add-cube-cbrt
92×distribute-lft-out
46×distribute-lft-out--
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-+ flip-+
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 376
Calls
2 calls:
9.0ms
(/ 1 (+ (- y z) 1.0))
21.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (+ (- y z) 1.0))
42.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
382 → 382
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
014234518
150024050

prune569.0ms

Filtered
382 candidates to 180 candidates (47.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3820382
Fresh011
Picked011
Done022
Total3824386

Merged error: 0b

Counts
386 → 4

regimes98.0ms

Accuracy

97.3% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.7b

bsearch77.0ms

Steps
ItersRangePoint
8
5.453812542321354e-21
2.033804478772488e-16
5.10680315044327e-17
9
-1.3140900587763538e+31
-1.9571091416283284e+25
-1.9935355709756488e+25

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample486.0ms

Algorithm
intervals
Results
271.0ms10175×body80valid