Details

Time bar (total: 4.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms267×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.1b
(/ x (* (- y z) (- t z)))

rewrite60.0ms

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:
40.0ms
(* (- y z) (- t z))
17.0ms
(/ x (* (- y z) (- t z)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- y z) (- t z))
112.0ms
(/ x (* (- y z) (- t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0384705
11834535
25002528

prune187.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

2.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
37×times-frac
33×*-un-lft-identity
23×add-exp-log
21×associate-*r* associate-*l*
19×add-cube-cbrt
13×add-cbrt-cube
8×div-exp prod-exp
6×distribute-lft-out-- difference-of-squares unswap-sqr
4×cbrt-undiv associate-/r/ cbrt-unprod
3×pow1
2×rec-exp flip3-- 1-exp flip-- div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 74
Calls
1 calls:
60.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series194.0ms

Counts
1 → 3
Calls
1 calls:
194.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0440542
11897462
25002442

prune149.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(* (cbrt (- y z)) (cbrt (- y z)))
0.8b
(/ (/ x (- t z)) (cbrt (- y z)))
1.4b
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z))))

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
622×times-frac
504×add-sqr-sqrt
464×*-un-lft-identity
255×add-cube-cbrt
254×cbrt-prod
182×associate-*r*
101×distribute-lft-out--
99×difference-of-squares
89×add-exp-log
46×associate-/r/
36×div-exp
32×flip3-- flip--
31×prod-exp add-cbrt-cube
30×cbrt-div
23×associate-*l*
21×associate-/l*
20×div-inv
19×unswap-sqr
18×cbrt-undiv
13×pow1 cbrt-unprod
10×swap-sqr
9×frac-times
8×associate-/r*
7×pow1/3
6×rec-exp 1-exp
5×associate-*r/ associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/l/
Counts
4 → 539
Calls
4 calls:
4.0ms
(cbrt (- y z))
39.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
31.0ms
(/ (/ x (- t z)) (cbrt (- y z)))
217.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z))))

series618.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- y z))
114.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
168.0ms
(/ (/ x (- t z)) (cbrt (- y z)))
194.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z))))

simplify99.0ms

Algorithm
egg-herbie
Counts
551 → 551
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
020017146
150026908

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b
(/ (/ x (- y z)) (- t z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
21×associate-/l*
14×associate-/r/
7×flip3-- flip-- div-inv
6×add-exp-log add-cbrt-cube
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 150
Calls
1 calls:
34.0ms
(/ (/ x (- y z)) (- t z))

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(/ (/ x (- y z)) (- t z))

simplify59.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06251557
122801523
250031523

prune333.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

-0.5% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch33.0ms

Steps
ItersRangePoint
9
1.1157103331949352e+151
6.36669775372154e+156
7.807870678599475e+151

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample485.0ms

Algorithm
intervals
Results
206.0ms8455×body80valid