Details

Time bar (total: 2.8s)

sample23.0ms

Algorithm
intervals
Results
8.0ms316×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite22.0ms

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:
10.0ms
(* x (+ (- y z) 1.0))
11.0ms
(/ (* x (+ (- y z) 1.0)) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ (- y z) 1.0))
44.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0262303
11268253
25002253

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite30.0ms

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:
9.0ms
(/ z (+ (- y z) 1.0))
13.0ms
(/ x (/ z (+ (- y z) 1.0)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ z (+ (- y z) 1.0))
50.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04631195
121431142
250011140

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

8.0b
(* (/ x z) (+ (- y z) 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp
Counts
1 → 42
Calls
1 calls:
13.0ms
(* (/ x z) (+ (- y z) 1.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0339277
11381249
25002243

prune104.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
8.1b
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

rewrite67.0ms

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))
23.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (+ (- y z) 1.0))
46.0ms
(/ (/ x z) (/ 1 (+ (- y z) 1.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
382 → 382
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
014234518
150024050

prune640.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes129.0ms

Accuracy

97.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch84.0ms

Steps
ItersRangePoint
9
0.0016736950671300647
256240.94767854072
52.41416620301926
8
-0.015510049556855336
-1.2015404042154093e-05
-0.00681634526194421

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0218
1218

end0.0ms

sample491.0ms

Algorithm
intervals
Results
266.0ms10178×body80valid