Details

Time bar (total: 6.3s)

sample24.0ms

Algorithm
intervals
Results
12.0ms268×body80valid

simplify114.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.3b
(/ x (* (- y z) (- t z)))

rewrite63.0ms

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:
42.0ms
(* (- y z) (- t z))
18.0ms
(/ x (* (- y z) (- t z)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
123.0ms
(/ x (* (- y z) (- t z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0384705
11834535
25002528

prune302.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
78.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series739.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt x)
206.0ms
(cbrt x)
196.0ms
(cbrt x)
143.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05391075
12688884
25001825

prune688.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.6b
(/ (/ x (- t z)) (- y z))

rewrite298.0ms

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:
11.0ms
(/ x (- t z))
276.0ms
(/ (/ x (- t z)) (- y z))

series152.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (- t z))
121.0ms
(/ (/ x (- t z)) (- y z))

simplify77.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06441751
123221707
250011707

prune763.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (/ (- t z) x))
1.6b
(/ (/ 1 (/ (- t z) x)) (- y z))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1039×times-frac
661×add-sqr-sqrt *-un-lft-identity
403×add-cube-cbrt
129×distribute-lft-out-- difference-of-squares
65×associate-/l*
32×add-exp-log
30×div-inv
24×associate-/r*
21×div-exp
16×add-cbrt-cube
9×cbrt-undiv associate-/r/
4×rec-exp 1-exp
3×pow1
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-- pow-flip flip-- associate-/l/ inv-pow
Counts
2 → 504
Calls
2 calls:
17.0ms
(/ 1 (/ (- t z) x))
49.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

series277.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 1 (/ (- t z) x))
212.0ms
(/ (/ 1 (/ (- t z) x)) (- y z))

simplify102.0ms

Algorithm
egg-herbie
Counts
510 → 510
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
017216277
150015753

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0146
1146

end0.0ms

sample492.0ms

Algorithm
intervals
Results
253.0ms8444×body80valid